Area and Perimeter Math Problems and Solutions

In third grade, students typically learn to measure and calculate the area and perimeter of various shapes. Because it can be hard to remember the difference between these mathematical concepts, your child may need additional help at home.

Find available tutors

What are Area and Perimeter?

Students likely will work with the area and perimeter of shapes throughout high school; however, early studies usually begin in third grade with simple, 2-dimensional shapes like squares, rectangles and parallelograms. Before working with your child on these concepts, you'll want to make sure he or she understands the difference. Area, which is measured in square units, is the amount of surface space taken up by a 2-D shape. It's calculated by multiplying the length of a shape by its width. Perimeter is the distance around the outside of a 2-D shape. It's measured by adding the lengths of all of a shape's sides.

It may be helpful to illustrate these concepts for your child. For example, to demonstrate area, you might draw a shape and have your child color in the inside, or area, of it. To depict perimeter, you could draw another shape and have your child outline the sides.

While your child's teacher can be an excellent resource for extra practice worksheets, you also can develop your own area and perimeter problems at home. You might use the following examples as your guide.

Math Problems by Concept

Area of a Square

What is the area of a square with 4-inch sides?

To solve this problem, your child should multiply the length of the square by its width. Since both are 4 inches, the answer is 16 square inches. It might be helpful to your child if you provide a drawing of a square and label each side.

Area of a Rectangle

A rectangle has a width of 4 inches and a height of 10 inches. What is the rectangle's area?

Like the first problem, the area is calculated by multiplying the width, 4 inches, by the height, 10 inches. The rectangle has an area of 40 square inches.

Perimeter of a Square

What is the perimeter of a square with 5-inch sides?

To calculate perimeter, your child should add all the sides together. Because the sides of a square are equal, the equation for this problem would be 5 + 5 + 5 + 5 = 20. The perimeter of the square is 20 inches.

Perimeter of a Rectangle

A rectangle is 7 inches wide and 3 inches high. What is the perimeter?

Again, all the sides should be added together, so the equation might look like this: 7 + 7 + 3 + 3 = 20. The rectangle's perimeter is 20 inches.
Did you find this useful? If so, please let others know!

Other Articles You May Be Interested In

  • More Blog Articles
    Creating Your Own Math Problems and Worksheets

    Supplementing your child's math lessons with a few problems and worksheets of your own will help you become better acquainted with his or her curriculum, and will help your child perform better in the classroom. Here are some tips for creating them.

  • More Blog Articles
    Sample Math Worksheet - Simple Addition

    This simple addition worksheet is only a sample to help you format your own practice math problems. Includes answers.

We Found 7 Tutors You Might Be Interested In

Huntington Learning

  • What Huntington Learning offers:
  • Online and in-center tutoring
  • One on one tutoring
  • Every Huntington tutor is certified and trained extensively on the most effective teaching methods
In-Center and Online

K12

  • What K12 offers:
  • Online tutoring
  • Has a strong and effective partnership with public and private schools
  • AdvancED-accredited corporation meeting the highest standards of educational management
Online Only

Kaplan Kids

  • What Kaplan Kids offers:
  • Online tutoring
  • Customized learning plans
  • Real-Time Progress Reports track your child's progress
Online Only

Kumon

  • What Kumon offers:
  • In-center tutoring
  • Individualized programs for your child
  • Helps your child develop the skills and study habits needed to improve their academic performance
In-Center and Online

Sylvan Learning

  • What Sylvan Learning offers:
  • Online and in-center tutoring
  • Sylvan tutors are certified teachers who provide personalized instruction
  • Regular assessment and progress reports
In-Home, In-Center and Online

Tutor Doctor

  • What Tutor Doctor offers:
  • In-Home tutoring
  • One on one attention by the tutor
  • Develops personlized programs by working with your child's existing homework
In-Home Only

TutorVista

  • What TutorVista offers:
  • Online tutoring
  • Student works one-on-one with a professional tutor
  • Using the virtual whiteboard workspace to share problems, solutions and explanations
Online Only

Help Your Child Succeed

Our Commitment to You

  • Free Help from Teachers

  • Free Learning Materials

  • Helping Disadvantaged Youth