perimeter problem solving grade 4

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Fourth Grade (Grade 4) Perimeter Questions

You can create printable tests and worksheets from these Grade 4 Perimeter questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

• Circumference
• 18.5 inches
• 13.5 inches
• 1,125 meters
• P = l + w + l + w
• P = 2 ( l + w)
• P = 2l + 2w
• Ted will need more fencing.
• Molly will need more fencing.
• They will both need the same amount of fencing.
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Free Printable Perimeter Worksheets for 4th Grade

Perimeter-focused math worksheets for Grade 4 students, designed to help them discover and master the concept of calculating perimeters. Download and print these free resources from Quizizz for effective learning.

Recommended Topics for you

• Perimeter of a Rectangle

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Explore printable Perimeter worksheets for 4th Grade

Perimeter worksheets for Grade 4 are an essential tool for teachers looking to enhance their students' understanding of math and geometry concepts. These worksheets provide a variety of engaging and challenging problems that help students practice calculating the perimeter of various shapes, such as rectangles, squares, and triangles. By incorporating these worksheets into their lesson plans, teachers can ensure that their Grade 4 students develop a strong foundation in this critical area of mathematics. Additionally, these worksheets can be used as a formative assessment tool, allowing teachers to gauge their students' progress and identify areas where additional instruction may be needed. In conclusion, perimeter worksheets for Grade 4 are a valuable resource for educators seeking to improve their students' math and geometry skills.

Quizizz is an innovative platform that offers a wide range of educational resources, including perimeter worksheets for Grade 4, to help teachers create engaging and interactive learning experiences for their students. In addition to worksheets, Quizizz provides teachers with access to thousands of quizzes and games that cover various subjects, including math, geometry, and more. These resources can be easily integrated into lesson plans, allowing teachers to assess their Grade 4 students' understanding of key concepts in real-time. Furthermore, Quizizz offers a variety of customization options, enabling educators to tailor their quizzes and worksheets to meet the specific needs of their students. By utilizing Quizizz and its extensive library of resources, teachers can ensure that their Grade 4 students receive a well-rounded education in math, geometry, and beyond.

4th Grade Area and Perimeter Worksheets

4th grade area and perimeter worksheets involve questions on calculating the area and perimeter of different shapes such as square, rectangle, and triangle and even complex figures such as parallelogram, rhombus, etc. Students learn how to solve questions on the topic by practicing problems using these worksheets.

Benefits of Grade 4 Area and Perimeter Worksheets

One of the major benefits of 4th grade area and perimeter worksheets is that they are visually appealing and allow students to work at their own pace and gradually move further, so as to make sure that students have understood the concepts clearly. These grade 4 math worksheets also help students improve their logical and reasoning skills. At every step, the area and perimeter 4th grade worksheets make sure students’ doubts are being cleared practically while they are working on it first-hand.

Printable PDFs for Area and Perimeter Worksheets for Grade 4

By getting sufficient practice with the help of grade 4 area and perimeter worksheets, a student can score better in exams. These worksheets can be downloaded in a PDF format for free.

• Grade 4 Math Area and Perimeter Worksheet
• 4th Grade Math Area and Perimeter Worksheet
• Area and Perimeter Worksheet 4th Grade
• Fourth Grade Math Area and Perimeter Worksheet

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Printable Perimeter Worksheets

Equip students of grade 3 through grade 8 with the best source of printable perimeter worksheets to strengthen their practice. The step-by-step approach assists students in mastering the concept with ease. Beginning with finding the perimeter using grids followed by determining the perimeter of 2D shapes like squares, rectangles, triangles, parallelograms, trapezoids, rhombuses, kites, quadrilaterals, polygons and circumference of circles; the worksheets provide a complete package, making them your often go-to tool.

List of Perimeter Worksheets

Perimeter using Grids

• Perimeter of Squares
• Perimeter of Rectangles
• Perimeter of Triangles
• Perimeter of Parallelograms
• Perimeter of Trapezoids
• Perimeter of Rhombus
• Perimeter of Kites
• Perimeter of Quadrilaterals
• Circumference of a Circle
• Perimeter of Polygons

Explore the Perimeter Worksheets in Detail

Introduce the concept of finding the perimeter using grids with this unit of worksheets. Find the perimeter of the shapes on the grids with fixed and varying scales, draw shapes on grids using the given perimeter, compare the perimeter of shapes on grids and match them as well.

Perimeter of Squares Worksheets

Focusing on finding the perimeter of squares, the worksheets here provide adequate practice in finding the perimeter of squares with integer, decimal and fraction dimensions, learn to find the diagonal and the side length using the perimeter and much more. Assess conceptual knowledge with the word problems.

Perimeter of Rectangles Worksheets

Boost the ability of students with this set of 60+ perimeter of rectangles worksheets. Included here are PDFs on finding the perimeter of rectangles with varied types of dimensions involving unit conversions. Find the perimeter of rectilinear shapes, determine the length of the diagonal and more.

Perimeter of Triangles Worksheets

Compute the perimeter of equilateral, isosceles and scalene triangles whose dimensions involve integers, decimals and fractions. Determine the measure of the sides using the perimeter and solve word problems too; employing this set of tailor-made PDF worksheets.

Perimeter of Parallelograms Worksheets

Prep-up students with this array of 35+ perimeter of parallelograms worksheets comprising skills like finding the perimeter of parallelograms involving varied dimension types, convert to specified units, determine the missing dimensions by solving algebraic expressions and more.

Perimeter of Trapezoids Worksheets

Calculate the perimeter of the trapezoids whose dimensions are expressed as integers and decimals. Determine the length of the missing base or leg and find the side lengths by solving the algebraic expressions as well.

Perimeter of Rhombus Worksheets

Figure out the perimeter of a rhombus with this batch of worksheets offering myriad exercises like determine the perimeter of a rhombus presented as geometrical shapes and in word format and learn to determine the length of the side too.

Perimeter of Kites Worksheets

Work out this batch of printable worksheets to determine the perimeter of kites, simplifying algebraic expressions to find the indicated sides using the perimeter and much more.

Perimeter of Quadrilaterals Worksheets

Obtain this set of 50+ worksheets to practice skills on computing the perimeter of quadrilaterals involving integers and decimal measures. Comprehend the congruent property, solve equations to determine the side lengths and more.

Circumference of a Circle Worksheets

Incorporate this assemblage of circumference of a circle worksheets, featuring adequate skills such as finding the circumference using the radius or diameter or vice versa.

Perimeter of Polygons Worksheets

Bolster practice with this set of worksheets on finding the perimeter of polygons. Determine the perimeter of regular and irregular polygons with dimensions involving integers, decimals and linear expressions, find the side length using the perimeter, and a lot more.

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Printable 4th Grade Perimeter Worksheets

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Area and Perimeter of Rectangle

Welcome to our Area and Perimeter of Rectangle worksheets and support page. Here you will find a range of free printable worksheets which will help your child to learn to work out the areas and perimeters of a range of rectangles and rectilinear shapes.

These sheets are aimed at children from 3rd to 5th grade.

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Area and Perimeter of Rectangle Support

On this webpage you will find our range of worksheets to help your child learn to work out the area of a range of rectangles.

These sheets are graded from easiest to hardest, and each sheet comes complete with answers.

Using these sheets will help your child to:

• understand what area and perimeter are;
• know how to find the area and perimeter of a rectangle;
• find areas and perimeters involving fractions;
• solve word problems and challenges involving areas and perimeters of rectangles.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

What is Area?

What is perimeter.

• Area & Perimeter of a Rectangle Worksheets
• Area & Perimeter of a Rectangle Challenges
• Area & Perimeter of a Rectangle Word Problems
• Area & Perimeter of Rectilinear Shapes Worksheets
• More recommended resources

Area & Perimeter of a Rectangle Online Quiz

• Area is the amount of space that is inside a shape.
• Because it is an amount of space, it has to be measured in squares.
• If the shape is measured in cm, then the area would be measured in square cm or cm 2

Area of a Rectangle

• If you are measuring the area of a rectangle, then the area will equal the length multiplied by the width.
• Or Area of a rectangle = length x width.
• The area of the rectangle below is 5 x 3 = 15 squares.
• Perimeter is the distance around the outside of a shape.
• It can be measured in cm, inches, feet, yards, km, miles, etc.

A good way of thinking about the perimeter of a shape in front of you is to imagine that you are very small and standing on one of the corners of the shape. Imagine walking along the sides of the shape until you get back to where you started. The distance you have walked will be the perimeter.

For more help with perimeter please use: this link.

How to find the perimeter of a rectangle

To find the perimeter of a rectangle, there are several different ways, you can use the one you prefer:

• Add up the lengths of each side seperately
• Double the lengths of the adjacent sides and add them together.
• Add the adjacent sides and double the answer.

Perimeter Example

Find the perimeter of the rectangle below.

We will work the perimeter out using the 3 different ways above:

• Add up the lengths of each side separately: 7 + 2 + 7 + 2 = 18
• Double the lengths of the adjacent sides and add them: double 7 + double 2 = 14 + 4 = 18
• Add the adjacent sides and double the answer: double (7 + 2) = double 9 = 18

Area and Perimeter Worksheets

Area and perimeter sheets 3rd grade.

• Area and Perimeter of Rectangles Sheet 1
• PDF version
• Area and Perimeter of Rectangles Sheet 2

Area and Perimeter Sheets 4th Grade

• Area and Perimeter of Rectangles Sheet 3
• Area and Perimeter of Rectangles Sheet 4

Area and Perimeter Challenges

The aim of these challenges is to get children to apply their knowledge of area and perimeter to solve problems and look for patterns in their results.

• Area and Perimeter of Rectangles Challenge 1
• Area and Perimeter of Rectangles Challenge 2
• Area and Perimeter of Rectangles Challenge 3

Area and Perimeter Problem Solving

Each problem needs to be identified as either an area problem or a perimeter problem and then solved..

The problems on the sheet are identical, but the measurements get progressively harder to do!

These sheets are designed for kids from 3rd to 5th grade.

• Area and Perimeter Word Problems Sheet 1A
• Area and Perimeter Word Problems Sheet 1B
• Area and Perimeter Word Problems Sheet 1C

Area and Perimeter of Rectilinear Shapes

These sheets involve working out the area of rectilinear shapes.

A rectilinear shape is a shape made out of rectangles.

Find the perimeter by adding up the side lengths (you many need to work some of them out first!)

Find the area by working out the areas of the rectangles and adding them up!

These sheets are suitable for 4th and 5th graders.

There is a support video to help you solve these problems underneath the sheets.

• Area and Perimeter of Rectilinear Shapes 1
• Area and Perimeter of Rectilinear Shapes 2

Area and Perimeter of Rectilinear Shapes Walkthrough Video

This short video walkthrough shows our Area and Perimeter of Rectilininear Shapes Worksheet 1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

• Rectangle Area and Perimeter Calculator

Our handy area and perimeter calculator will find the area and perimeter of a range of rectangles.

The best feature is that it shows you all the working out, step-by-step.

More Area Worksheets

This section contains worksheets on area at a 5th and 6th grade level.

The focus is on calculating the area of triangles and different quadrilaterals.

• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals.
• Area of Rectangle Worksheets (area only)
• Area of Right Triangle
• Area of Equilateral Triangle
• Area of Parallelogram Worksheets
• Area of Quadrilaterals Worksheets
• Perimeter Worksheets

Here is our selection of free printable perimeter worksheets for 3rd and 4th grade.

The sheets are all graded in order from easiest to hardest.

• work out the perimeter of a range of rectangles;
• find the perimeter of rectilinear shapes.

All the sheets in this section support Elementary Math Benchmarks.

• What does perimeter mean? Support page

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at finding the area and perimeter of a rectangle here. It is aimed at 3rd and 4th graders.

Fun Quiz Facts

• This quiz was attempted 1,182 times in the last academic year. The average (mean) score was 15.3 out of 22 marks.
• Can you beat the mean score?

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• 4th Grade Math
• Geometric measurement

Grade 4 measurement worksheets: Area, perimeter, and volume

Whether you're a teacher looking for new resources or a parent wanting to support your child's learning at home, our Grade 4 Measurement Worksheets are perfect for mastering these essential mathematical skills. This article will focus on building 4 th graders' mastery of the area, perimeter, and volume of various shapes, attributes, and relationships.

We understand the importance of measurement worksheets in math and daily life. That’s why we invite you to visit Mathskills4kids.com , a fantastic website where you can download and print tons of thrilling Grade 4 measurement worksheets for classroom and home use.

Unlocking the Secrets of Area, Perimeter, and Volume with Grade 4 Measurement Worksheets

Are you ready to take your fourth-grade students on a journey of discovery through the fascinating world of measurement? Look no further! Our Grade 4 Measurement Worksheets are the key to unlocking the secrets of area, perimeter, and volume .

Our worksheets cover everything from calculating the area of irregular shapes to finding the volume of three-dimensional objects. But that's only part - we go beyond numbers and formulas. With real-life examples and relatable scenarios, we ensure your students understand the practical applications of measurement in their everyday lives.

BROWSE THE WEBSITE

Download free worksheets, 4th grade math topics.

• Number sense

Subtraction

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• Mixed operations
• Variable expressions
• Coordinate plane
• Data and graphs
• Logical reasoning
• Patterns and sequences
• Units measurement
• Telling time
• Equivalent fractions
• Compare & order fractions
• Add & subtract fractions with like denominators
• Add & subtract fractions with unlike denominators
• Multiply fractions
• Add and subtract decimals
• Probabilities and statistics
• Triangles and quadrilaterals

Start practice on Fourth Grade here

Understanding area and perimeter.

Before diving into the world of measurement, it's essential to understand area and perimeter clearly. Area refers to the amount of space inside a two-dimensional shape, while perimeter represents the total length of the boundary of a shape. Let's explore each concept further:

• Area : Area is calculated by multiplying the length and width of a shape. For example, to find the area of a rectangle, you multiply its length by its width. The formula for calculating the area of a rectangle is A = length x width. Similarly, the area of a square is found by multiplying the length of one side by itself, or A = side x side.
• Perimeter : Perimeter is the distance around the outside of a shape. It is found by adding up the lengths of all the shape's sides. For example, to find the perimeter of a rectangle, you add up the lengths of all four sides. The formula for calculating the perimeter of a rectangle is P = 2(length + width). Similarly, the perimeter of a square is found by multiplying the length of one side by 4, or P = 4 x side.

Since most kids find area and perimeter confusing, learning and understanding their differences is essential. Area refers to the space inside a shape, while perimeter refers to the distance around the shape. Students can confidently apply these concepts to various problems and scenarios by grasping this distinction.

Exploring area with grade 4 measurement worksheets

Now that we have a solid understanding of area, let's explore how our Grade 4 Measurement Worksheets can help students master this concept. Our worksheets are carefully designed to provide a comprehensive overview of area, catering to different learning styles and abilities.

Here's what you can expect from Mathskills4kids’ area-focused worksheets:

• Calculating the area of rectangles : Our worksheets provide ample practice in calculating the area of rectangles. Students will be presented with various rectangular shapes and learn to multiply the length and width to find the area. By solving progressively challenging problems, students will develop a deep understanding of the concept.
• Finding the area of irregular shapes : Our worksheets also cover calculating the area of irregular shapes. Students will be challenged to break down complex shapes into smaller, manageable parts and calculate the area of each part. This exercise promotes critical thinking and problem-solving skills while reinforcing the concept of area.
• Applying area in real-life scenarios : To ensure that students understand the practical applications of area, our worksheets include real-life examples. Students will encounter scenarios such as calculating the area of a garden, a room, or a sports field. By connecting these examples to their everyday lives, students will appreciate the relevance and importance of area in the real world.

With our Mathskills4kids’ Grade 4 Measurement Worksheets , students will gain the confidence and proficiency needed to excel in calculating area. The comprehensive coverage and practical approach of our worksheets make learning area an enjoyable and rewarding experience.

Introducing Volume in Grade 4 Math

As students progress through grade 4, they are introduced to the concept of volume. Volume refers to the amount of space occupied by a three-dimensional object. Understanding volume is essential as it has numerous applications in real-world scenarios, such as filling containers, measuring liquids, or estimating the size of objects. Let's dive deeper into volume:

• Measuring volume : Volume is calculated by multiplying an object's length, width, and height. The formula for finding the volume of a rectangular prism is V = length x width x height. It's important to note that the units used for length, width, and height must be the same to ensure accurate calculations.
• Unit of measurement : Volume is typically measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³). It represents the number of unit cubes that can fit inside the object. For example, if a rectangular prism has a volume of 24 cm³, it means that 24 unit cubes measuring 1 cm on each side can fit inside the prism.

By introducing volume in grade 4 math , students gain a deeper understanding of spatial concepts and develop critical thinking skills. Our Grade 4 Measurement Worksheets offer comprehensive volume coverage, ensuring students grasp the concept and its practical applications.

Tips for teaching and learning area, perimeter, and volume in grade 4

Teaching and learning area, perimeter, and volume in grade 4 can be an exciting and rewarding experience for educators and students. However, conveying these concepts to young minds can also be challenging. Here are some tips to help you make the learning process more engaging and impactful:

• Make it relatable : Explain how these concepts are relevant to everyday life. For example, you can discuss how knowing the area of a room can help when buying new furniture or how understanding volume can be helpful when packing a suitcase for a trip. By connecting these concepts to real-life scenarios, you can capture the students' interest and show them the practical applications of measurement.
• Use visual aids : Visual aids such as diagrams, charts, and models can significantly enhance understanding. For example, when teaching area and perimeter, you can give students grids and shapes to manipulate and measure. This hands-on approach allows students to visualize the concepts and actively participate in learning.
• Provide real-life examples : Incorporate real-life examples into your lessons to make the concepts more relatable. For instance, you can use images of famous landmarks or objects to calculate their area, perimeter, or volume. This makes the learning experience more engaging and helps students understand the relevance of these concepts in the world around them.

By implementing these tips, you can create a dynamic and interactive learning environment that fosters a deeper understanding of area, perimeter, and volume in grade 4 students.

Applying volume concepts with grade 4 measurement worksheets

Mathskills4kids’ Grade 4 Measurement Worksheets provide a range of exercises that allow students to apply volume concepts to various scenarios .

Here's how our worksheets can help students master volume:

• Calculating the volume of rectangular prisms : Students will practice calculating the volume of rectangular prisms using our worksheets. They will be presented with different prisms and learn to multiply the length, width, and height to find the volume. The worksheets gradually increase in difficulty, allowing students to build their skills and confidence.
• Estimating volume : Our worksheets also include activities where students need to estimate the volume of objects based on their dimensions. This exercise promotes critical thinking and helps students understand the relative sizes of different objects.
• Real-life examples : To ensure that students understand the practical applications of volume, our worksheets incorporate real-life examples. Students will encounter scenarios such as estimating the volume of a water tank, a cereal box, or a swimming pool. By connecting volume to everyday situations, students will realize the importance of this concept in their lives.

Our Grade 4 Measurement Worksheets provide a comprehensive and engaging way for students to master volume concepts. Combining practice exercises, estimation tasks, and real-life examples creates a well-rounded learning experience that prepares students for any volume-related challenge.

Solving perimeter problems with grade 4 measurement worksheets

Perimeter is another fundamental concept in grade 4 measurement, and our Grade 4 Measurement Worksheets are here to help students become experts in solving perimeter problems. Here's how our worksheets can assist in mastering perimeter:

• Identifying the sides of shapes : Our worksheets start by teaching students to correctly identify and label the sides of different shapes. Students can visualize and calculate the perimeter more effectively by understanding the structure of various shapes.
• Calculating the perimeter of rectangles : Students will practice calculating the perimeter of rectangles using our worksheets. They will learn to add up the lengths of all four sides to find the perimeter. Our worksheets provide a wide range of rectangular shapes, ensuring students are exposed to different scenarios and challenges.
• Finding the perimeter of irregular shapes : Our worksheets also cover the perimeter calculation for irregular shapes. Students will encounter shapes with varying side lengths and will apply their knowledge of perimeter to find the total distance around the shape. This exercise encourages critical thinking and problem-solving skills.
• Real-world application of perimeter : To make the concept of perimeter more relatable, our worksheets include real-life scenarios where students need to calculate the perimeter. They will encounter situations such as finding the perimeter of a fence, a walking path, or a room. This connection to everyday life enhances understanding and reinforces the relevance of perimeter in practical situations.

By working through our Grade 4 Measurement Worksheets, students will develop a solid foundation for solving perimeter problems. The variety of exercises, real-life examples, and gradual progression of difficulty ensure a comprehensive learning experience that prepares students for any perimeter challenge.

Common mistakes and misconceptions in area, perimeter, and volume

Students may encounter common mistakes and misconceptions while learning area, perimeter, and volume . Here are a few examples and tips to address them:

• Confusing area and perimeter : Students often mix up area and perimeter, thinking they are the same thing. Reinforce the difference between the two by providing clear explanations and plenty of practice exercises.
• Misusing formulas : Students may struggle with using the correct formulas for calculating area, perimeter, and volume. Please encourage them to write down the formulas and refer to them when solving problems. Regular practice will help them become more familiar with the formulas.
• Not considering units : Students sometimes forget to include units when calculating area, perimeter, and volume. Emphasize the importance of units and encourage them always to include these units in their answers.
• Misinterpreting word problems : Word problems can be challenging for students, requiring careful reading and understanding. Encourage students to read the problems multiple times, underline critical information, and identify what is being asked.

By addressing these common mistakes and misconceptions , educators can help students develop a solid understanding of area, perimeter, and volume , ensuring their success in future mathematical endeavors.

Bonus: 4th graders' additional resources for practicing area, perimeter, and volume

To further support students' learning and practice in area, perimeter, and volume , here are some additional resources specifically designed for 4th graders :

• Online interactive games : Numerous online games and interactive activities are available that allow students to practice area, perimeter, and volume in a fun and engaging way. These games often provide immediate feedback, helping students identify and correct their mistakes.
• Math workbooks : Math workbooks specifically tailored for 4th graders can be a valuable resource. These workbooks usually include a variety of exercises, ranging from simple to complex, to reinforce area, perimeter, and volume concepts.
• Math apps : Many educational apps offer interactive lessons and practice exercises for area, perimeter, and volume. These apps provide a convenient way for students to reinforce their understanding of these concepts using smartphones or tablets.
• Math manipulatives : Manipulatives such as base-ten blocks, pattern blocks, or interlocking cubes can reinforce area, perimeter, and volume concepts. Students can physically manipulate these objects to visualize and understand the concepts better.

Here are some links for more practice:

• https://www.mathplayground.com/area_perimeter.html .
• https://www.khanacademy.org/math/cc-fourth-grade-math .
• https://www.mathsisfun.com/geometry/index.html .

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

In conclusion, mastering area, perimeter, and volume in grade 4 is essential for student's mathematical development. These concepts provide a strong foundation for future mathematical learning and practical applications in everyday life.

From calculating the area of a room to estimating the volume of a container, measurement skills are crucial for solving real-world problems.

Mathskills4kids’ Grade 4 Measurement Worksheets offer an engaging and comprehensive way for students to unlock the secrets of area, perimeter, and volume. Focusing on practical examples, real-life scenarios, and various exercises, our worksheets cater to different learning styles and abilities.

Educators can create dynamic and interactive learning environments that foster a deep understanding of these fundamental concepts by using our worksheets and following the tips provided.

So, get ready to embark on a journey of measurement discovery with our Grade 4 Measurement Worksheets from Mathskills4kids.com . Watch as your students excel in area, perimeter, and volume, and witness the transformation of their mathematical abilities.

Together, let's unlock the secrets of measurement and lay the foundation for a lifetime of mathematical success.

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The perimeter of a shape is the total distance around the outside of the shape . It is the sum of all the side lengths of the shape .

Formulas for Perimeter

For different shapes , the formulas to calculate the perimeter are:

Rectangle : P = 2 × ( length + width )

Square : P = 4 × side length

Triangle : P = side1 + side2 + side3

Circle : P = 2 × π × radius (or P = π × diameter )

Let's consider some examples:

Example 1: Find the perimeter of a rectangle with length 8 cm and width 5 cm.

Solution: P = 2 × (8 + 5) = 2 × 13 = 26 cm

Example 2: Find the perimeter of a square with side length 6 cm.

Solution: P = 4 × 6 = 24 cm

Example 3: Find the perimeter of a triangle with side lengths 3 cm, 4 cm, and 5 cm.

Solution: P = 3 + 4 + 5 = 12 cm

Example 4: Find the perimeter of a circle with a radius of 10 cm. (Use π = 3.14)

Solution: P = 2 × 3.14 × 10 = 62.8 cm

Study Guide

When calculating the perimeter of a shape , remember to:

• Identify the shape and its side lengths .
• Use the correct formula for the shape ( rectangle , square , triangle , circle ).
• Add up the side lengths to find the perimeter.
• Pay attention to units (cm, m, etc.) and include them in your answer.

Practice calculating the perimeter of different shapes to become more familiar with the concept. You can use the formulas provided to solve practice problems and improve your understanding of perimeter.

Remember, the perimeter is a measure of the boundary of a shape , and it is an important concept in geometry and real-world applications.

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◂ Math Worksheets and Study Guides Fourth Grade. Perimeter

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Area And Perimeter Formulas: Real World Problems

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• Grade 4 Mathematics Module 3, Topic A, Lesson 3

Prerequisites

• 3.MD.C.7.B ,
• 3.NBT.A.2 ,
• 3.NBT.A.3 ,
• 4.NBT.A.1 ,
• CCSS Standard:

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Grade 4 Mathematics Module: Solving Routine and Non-routine Problems Involving Perimeter

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

Word problem involving perimeter is just an application of basic math skills but there are also some problems involving perimeter that are complicated. We have to follow a step by step solution, make an illustration, choose a formula and make use of different strategies to come up with the right answer.

After going through this module, you are expected to: solve routine and non-routine problems in real-life situations involving perimeter of squares, rectangles, triangles, parallelograms, and trapezoids.

Grade 4 Mathematics Quarter 3 Self-Learning Module: Solving Routine and Non-routine Problems Involving Perimeter

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Common Core: 4th Grade Math : Solving for Perimeter

Study concepts, example questions & explanations for common core: 4th grade math, all common core: 4th grade math resources, example questions, example question #177 : parallelograms.

The fence is going around the garden, so this is a perimeter problem. 

Example Question #481 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #179 : Parallelograms

Example Question #180 : Parallelograms

Example Question #181 : Parallelograms

Example Question #151 : How To Find The Area Of A Parallelogram

Example Question #183 : Parallelograms

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Example Question #185 : Parallelograms

Example Question #1 : Solving For Perimeter

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Home / United States / Math Classes / Worksheets / 4th Grade Area and Perimeter Worksheets

4th Grade Area and Perimeter Worksheets

The fourth grade area and perimeter worksheets have a comprehensive range of questions that will test the knowledge and understanding of students with reference to different aspects of area and perimeter. Targeted at fourth grade students, these worksheets strengthen the fundamentals of the concepts of area and perimeter. ...Read More Read Less

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Choose math worksheets by topic, 4th grade area and perimeter worksheets explained :.

Students will get hands-on experience on various concepts that are covered in grade 4 area and perimeter worksheets that will eventually help them with math problems in higher grades. The grade 4 area and perimeter worksheets include the following concepts:

• Area and Perimeter - The worksheets for this concept include the perimeter and area formula for a rectangle, finding unknown measures with the help of the formulas and solving multi-step word problems based on the area and perimeter formulas.

The fourth grade area and perimeter worksheets are created with different levels of difficulty to ensure a holistic learning experience for students while clearing out their misconceptions.

Benefits of 4th Grade Area and Perimeter Worksheets:

The grade 4 area and perimeter worksheets cover different aspects of the concepts and thus ensure that students are confident of answering questions related to area and perimeter in the most efficient way. The fourth grade area and perimeter worksheets have the following benefits for the students:

• Area and Perimeter - These worksheets cover important areas of the topic such as finding the area and perimeter of a rectangle and finding unknown measures with the help of formulas. These concepts will ensure children have a better understanding of area and perimeter and its use.

The 4th grade area and perimeter worksheets will benefit students by helping them to have a stronger grasp on the area and perimeter of rectangles, and solve problems based on these concepts.

Have a look at these concept pages and recollect some of your favorite math concepts:

• Difference between area and volume
• Properties of rectangles
• Types of polygons
• Perimeter of triangle

Printable PDFs and Interactive Worksheets:

The PDF based printable area and perimeter worksheets for fourth grade can be downloaded from the BYJU’S Math website at any time and solved in an offline mode. As a result, students can easily work on the worksheet problems without any time crunch. The PDF-based worksheets are easy to download and students can solve them whenever they get time. The tech-based interactive worksheets for 4th grade students are solved in an online mode. These worksheets have a time limit and thus will encourage children to participate in such time bound activities in the future. Once students have solved the worksheet online, they are able to find the solutions to each and every question immediately.

What is the perimeter of a rectangle?

The 4th grade area and perimeter worksheets focus on the perimeter of a rectangle, which is defined as the sum of the side lengths. The formula is denoted as,

Perimeter = length (l) + length + width (w) + width,

P = l + l + w + w,

This can be written as, P = 2 (l + w)

How do we find the area of a rectangle?

The fourth grade area and perimeter worksheets also help students gain familiarity with the formula for the area of a rectangle. The area of a rectangle is defined as the product of its length and breadth. The formula for area is given as,

Area of a rectangle = length (l) ✕ width (w)

Is a square and a rectangle the same?

Although a square and rectangle share similar features, but they are not the same. A square has all its sides equal whereas a rectangle has opposite sides that are equal. Solving questions in the fourth grade area and perimeter worksheets will help students understand the difference.

Can two squares make a rectangle?

If we combine two squares, the result is a rectangle with an area of the two original squares. You will come across such interesting questions with the fourth grade area and perimeter worksheets.

Can you find the length of a rectangle if the dimensions of its width and area are given?

Fourth grade area and perimeter worksheets also focus on how the length of a rectangle can be found when its area and width are given by substituting the values in the area formula.

Perimeter of Rectangle Problems

Perimeter of a rectangle word problems.

There are different types of geometry word problems. One of the most common involves the perimeter which is the distance around the outside of a two-dimensional geometric shape. In this lesson, our focus is on the perimeter of a rectangle in which we’ll find the relationship between the sides of a rectangle, that is, the length and the width.

The key to solving perimeter word problems is to know two things:

1) The formula of the perimeter of a rectangle.

• Perimeter of a Rectangle Formula: [latex]{\textbf{\textit{P = 2L + 2W}}}[/latex]
• Remember that the length (L) is the longest side of the rectangle while the width (W) is the shortest side .

2) Being able to express the length in terms of the width and vice versa, depending on the word problem.

Let’s tackle this topic by working on a variety of examples involving the perimeter of a rectangle.

Just a heads up, the first five examples (word problems 1-5) can be solved by multi-step equations with one or single variable while the last three (word problems 6-8), can be solved by systems of equations with two variables.

Example 1: The perimeter of a rectangle is 128 centimeters and the length is 47 centimeters. Find the width of the rectangle.

The first thing that we need to do is to construct or draw a diagram based on the information given in the problem. Looking back at our problem, we were given the measurement for the length as well as the perimeter of the rectangle.

With this visual, we can easily spot what pieces of information are already provided to us and what else is missing that we need to solve. Clearly, the width is unknown so we’ll represent this value with the variable [latex]W[/latex].

Let’s now solve for the width ([latex]W[/latex]) using the formula for the perimeter of a rectangle. Since we already know the value for the length ([latex]L[/latex]) and the value for the perimeter ([latex]P[/latex]), we will simply replace the variables ([latex]L[/latex]) and ([latex]P[/latex]) with their values.

Answer: The width of the rectangle is 17 centimeters.

Before we proceed to the next problem, let’s find out if our answer is correct. We can do this by simply substituting the values that we have for the perimeter, length, and width into the perimeter formula, then verify if each side of the equation equals the other.

Great! We’re able to confirm that the measurement of the width which is 17 cm, indeed is the correct value.

Example 2: A rectangle has a width of 7 feet and a length of 132 inches. Find the perimeter of the rectangle both in feet and inches.

This problem is asking us to express the perimeter of the rectangle using two different units of measurement, i.e. in feet and in inches. To get both measurement units, we’ll solve the problem in two parts.

PART 1: Express the perimeter of the rectangle in feet.

We are given the following information below:

Since the width is already in feet, we don’t have to do anything with it. However, for the length, we must convert 132 inches to feet. We know that 1 ft = 12 in.

Perfect! We were able to get the measurement of our length in feet. So now, we have:

• Width = 7 ft
• Length = 11 ft

To find the perimeter, we simply have to plug in the values into the Perimeter Formula then simplify.

Part 1 Answer: The perimeter of the rectangle is 36 feet.

PART 2: Express the perimeter of the rectangle in inches.

We will use the same methodology in Part 1 to find our answer for this second part. Again, the following pieces of information are given to us in the original problem:

• Width = 7 ft.
• Length = 132 in.

This time, the length is the side that has its measurement already in inches. Since we want to find the rectangle’s perimeter in inches, we’ll focus on converting the width from feet to inches. Remember again that 12 in. = 1 ft .

So now we have,

The dimensions of our length and width are now both in inches. Let’s now find the perimeter of the rectangle by substituting the values into the perimeter formula then simplify.

Part 2 Answer: The perimeter of the rectangle is 432 inches.

Example 3: The width of a rectangle is 23 meters less than the length. The perimeter of the rectangle is 94 meters. Find the dimensions of the rectangle.

For us to solve this word problem, we need to be able to substitute values or expressions to the [latex]L[/latex], [latex]W[/latex], and [latex]P[/latex] variables of the perimeter formula, [latex]P=2L+2W[/latex].

In our problem, we can easily spot the value of the perimeter ([latex]P[/latex]) which is 94 meters. On the other hand, the width of the rectangle is expressed in terms of length.

The width of the rectangle is 23 meters less than the length.

We need to translate the algebraic sentence above into an algebraic expression so we can substitute it for the width in the perimeter formula. So if ([latex]W[/latex]) stands for the width and ([latex]L[/latex]) is for the length, our algebraic expression for the width is,

[latex]{W = L – 23}[/latex]

How about the length? Well, at this time, our length is unknown. So in this case, we will keep the variable [latex]L[/latex] to stand for the length.

Let’s construct a diagram to get a better visual of all the information that we have so far.

Now that it’s clear to us what we’ll substitute the [latex]L[/latex], [latex]W[/latex], and [latex]P[/latex] variables with, we can proceed to solve for [latex]L[/latex] using the perimeter of a rectangle formula.

Since the problem is asking us to find the dimensions for both the length and the width, let’s use the value of [latex]L[/latex] to also get the value for the width.

• Length ([latex]L[/latex])= [latex]35[/latex]
• Width ([latex]W[/latex])= [latex]L-23={\color{red}35}-23=12[/latex]

Answer: The length of the rectangle is 35 meters and the width is 12 meters.

I advise my students to always check their answers no matter how confident they feel that they got the correct one. For this problem, we simply have to substitute the values of [latex]L[/latex], [latex]W[/latex], and [latex]P[/latex] in the perimeter formula. If the left and the right side of the equation both equal each other, then our answers are correct.

Example 4: The length of the rectangle is 12.5 feet more than the width. If the perimeter of the rectangle is 101 feet, how long is the length of the rectangle?

Right off the bat, we can see that the value of the perimeter is 101 ft and that the length is defined using the width as given in the following statement.

The length of the rectangle is 12.5 feet more than the width.

Just like in our previous example, we need to algebraically express the length in terms of the width so we can substitute this algebraic expression for the length ([latex]L[/latex]) in the perimeter formula. Translating the statement above, we get [latex]L = W+12.5[/latex]

Let’s put together the information that we’ve gathered so far in a diagram.

As you can see, the width ([latex]W[/latex]) is currently unknown. Therefore, the next step that we have to do is solve for ([latex]W[/latex]) using the formula for the perimeter of a rectangle.

Now that we know the value of the width ([latex]W[/latex]), let’s use this value to find the dimension for the length.

• Width ([latex]W[/latex])= [latex]19[/latex]
• Length ([latex]L[/latex])= [latex]W+12.5={\color{red}19}+12.5=31.5[/latex]

Going back to our original problem, how long is the length of the rectangle?

Answer: The length of the rectangle is 31.5 ft.

This time, I will leave it up to you to check if our answer is correct. Start by substituting the values of [latex]L[/latex], [latex]W[/latex], and [latex]P[/latex] in the perimeter formula, [latex]P=2L+2W[/latex], then simplify. If both sides of the equation equal each other, then we got the correct answer.

Example 5: A certain rectangle has a length of half a yard more than twice the width. The perimeter of the unknown rectangle is 55 yards. Find its width.

Let’s start by determining the values and expressions that are provided to us in the problem.

• Length = half a yard more than twice the width = [latex]2W +\Large {1 \over 2}[/latex]
• Perimeter = 55

Using the perimeter formula, we will solve for the unknown which is the width ([latex]W[/latex]).

Before we formally answer the question from our word problem, let’s find out the dimensions of the rectangle using the value of the width.

• Width ([latex]W[/latex])= [latex]9[/latex]
• Length ([latex]L[/latex])= [latex]2W +{\Large {1 \over 2}}=2({\color{red}9})+{\Large {1 \over 2}}=18+{\Large {1 \over 2}}=18{\Large{1 \over 2}}[/latex]

Answer: The width of the rectangle is 9 yards.

Example 6: When you subtract the width from the length of the rectangle, the difference is 8 inches. What are the dimensions of the rectangle if its perimeter is 72 inches?

This example is a little bit more complex than the previous ones. As you may have noticed, neither the length nor the width is expressed in terms of the other. So to proceed, we will start by discussing the important statements that are given to us in this problem.

When you subtract the width from the length of the rectangle, the difference is 8 inches .

Let’s use again the variable [latex]L[/latex] to stand for length and [latex]W[/latex] for the width. Translating this algebraically, we have the following equation

[latex]L – W = 8[/latex]

The perimeter of the rectangle is 72 inches.

We are already familiar with the formula for the perimeter of a rectangle so we can simply write this as

[latex]P = 2L + 2W[/latex]

[latex]72 = 2L + 2W[/latex]

By just going through both statements, we were able to come up with two equations:

• Equation 1: [latex]L – W = 8[/latex]
• Equation 2: [latex]72 = 2L + 2W[/latex]

It is clear at this point that we are dealing with two equations with two unknowns, namely, [latex]L[/latex] and [latex]W[/latex]. In other words, we are going to solve systems of linear equations with two variables.

Observe that we can use Equation 1 to express the length in terms of the width, then substitute the expression into Equation 2. The result will be a multi-step equation having the width ([latex]W[/latex]) as the only variable in the equation.

Let’s do this step-by-step.

1) Start with Equation 1 and solve for [latex]L[/latex].

Notice that to clean up the left side of the equation, we added [latex]W[/latex] to both sides of the equation. Then we applied the Commutative Property of Addition, that is, [latex]8 + W = W + 8[/latex].

2) Next, substitute the expression of [latex]L[/latex] into Equation 2.

We now have the value for the width. But since we are asked to find both dimensions of the rectangle, let’s plug the value of the width which is 14 into Equation 1 to find the value for the length ([latex]L[/latex]).

So, what are the dimensions of the rectangle if its perimeter is 72 inches?

Answer: The length of the rectangle is 22 inches while the width is 14 inches.

Calculator Check:

Example 7: The difference of the length and three times the width of a rectangle is 5 centimeters. Find the length and the width of the rectangle if its perimeter is 82 centimeters.

We have the same situation here as our previous example. Neither the length nor the width is expressed in terms of the other. Therefore, let’s break down the problem again to find out what important pieces of information are given to us.

First, we are told that

The difference between the length and three times the width of a rectangle is 5 centimeters.

Using [latex]L[/latex] and [latex]W[/latex] again as our unknown variables, we can translate this algebraic sentence as

[latex]L – 3W = 5[/latex]

Next, our second statement says that

The perimeter of the rectangle is 82 centimeters.

This one is easy. Using the formula for the perimeter of a rectangle we have,

[latex]P = 2L + 2W\,\,\, \to \,\,\,82 = 2L + 2W[/latex]

Before we proceed, let’s look at our two equations:

• Equation 1: [latex]L – 3W = 5[/latex]
• Equation 2: [latex]82 = 2L + 2W[/latex]

Our next step is to express [latex]L[/latex] in terms of the width.

1) Solve for [latex]L[/latex] using Equation 1.

We are now ready to plug in the expression of [latex]L[/latex] into our second equation.

2) Substitute [latex]L[/latex] with [latex]3W + 5[/latex] in Equation 2.

Let’s now also see what the value of the length is using the value we got for the width which is 9.

Answer: The length of the rectangle is 32 centimeters and the width is 9 centimeters.

Let’s verify again real quick using a calculator if both values will give us a perimeter of 82 cm when plugged into the formula of the perimeter of a rectangle. If the sum of twice the length ([latex]2L[/latex]) and twice the width ([latex]2W[/latex]) is 82, then both of our answers are correct.

Example 8: The sum of the length and one-half of the width is 42 yards. The rectangle’s perimeter is 100 yards. What is the width of the rectangle?

You should be familiar by now with what to do first when we have perimeter word problems where neither each side of the rectangle is defined using the other.

Let’s delve into the important statements right away and translate them into an algebraic equation.

The sum of the length and one-half of the width is 42 yards.

• Equation 1: [latex]L + {\Large{1 \over 2}}W = 42[/latex]

The rectangle’s perimeter is 100 yards.

• Equation 2: [latex]P = 2L + 2W\,\,\, \to \,\,\,100 = 2L + 2W[/latex]

What’s next? Well, it’s time for us to define the length using the width by solving for [latex]L[/latex] using Equation 1.

Let’s now substitute [latex]L[/latex] with [latex]42 – {\Large{1 \over 2}}W[/latex] in Equation 2.

The word problem is only asking us for the measurement of the width. So we’ll say,

Answer: The width of the rectangle is 16 yards.

I’ll leave it up to you to do the checking if our answer is correct. Make sure to find the value of the length first by using the value of the width ([latex]W[/latex]) which is 16.

Then, move on to check if both values, when plugged into the perimeter of a rectangle formula ([latex]P=2L+2W[/latex]), will give you a perimeter of 100 yards as stated in our original word problem.

You might also like these tutorials:

• Perimeter of a Rectangle
• Area of a Rectangle

Perimeter Word Problems

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