Area Math Problems and Tests for Kids

In daily life, you may have to calculate the area of a space when you buy new furniture or carpeting. In school, your child will have to calculate the area of many different types of shapes for tests. To prepare for these situations, you and your child can review and practice finding areas by working the sample problems below.

Find available tutors

How Do I Find the Area in Math Problems?

The area of a rectangle is the product of length and width, which is also sometimes called base and height. Written as an equation, it looks like this: A = l x w. The area of an object is labeled as a square unit. For instance, if a rectangle has a length of three inches and a width of four inches, then the area would be 12 square inches. Remind your child to label every answer on tests because sometimes teachers take off points for answers that aren't labeled, even if the answers are correct.

As your child advances through her study of math, she will be introduced to more challenging shapes, like parallelograms, circles and triangles. These shapes require alternate equations to calculate the area. The area of a triangle, for instance, is A = 1/2 (b)(h). For a triangle that has a base of five feet and a height of two feet, the equation would look like this: A = 1/2 (5)(2), which equals 5 sq. ft. For tests, teachers sometimes provide these equations because there are so many to remember.

Practice Test

Area Equations

Area of a rectangle = l x w

Area of a parallelogram = b x h

Area of a circle = pi (r^2)

Area of a triangle = 1/2 (b)(h)


1. Calculate the area of a triangle whose base is five centimeters and whose height is eight centimeters.

2. A parallelogram's base is 70 millimeters (mm) long. Its height is 30 mm high. What is the area of the parallelogram?

3. If a circle has a diameter of four meters, what is its area?

4. A triangle has a base of 11 inches and a height of two inches. A rectangle has a base of four inches and a height of 14 inches. A circle has a radius of seven inches. Which shape has the largest area?

5. Melanie's bedroom is nine feet by 13 feet long. How much carpeting does she need to buy to cover the area of her room?


1. The area of the triangle is 20 sq. cm.

2. The parallelogram has an area of 2,100 sq. mm.

3. To solve this problem, you first have to determine the circle's radius, which is half of its diameter. Because the diameter is four meters, the radius is two meters. Then, plug this number into the equation, like this: A = pi (2^2). The answer is approximately 12.57 sq. m.

4. In order to figure out which shape has the largest area, you must calculate the area for all three shapes. Beginning with the triangle, the equation should look like this: A = 1/2 (11)(2), which equals 11 sq. in. The area of the rectangle is A = (4)(14) = 56 sq. in. Finally, the circle's area is A = pi (7^2) = approximately 154 sq. in. Thus, the circle has the largest area.

5. Melanie must buy 117 sq. ft. of carpeting.

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


  • 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


  • 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


  • 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

Our Commitment to You

  • Free Help from Teachers

  • Free Learning Materials

  • Helping Disadvantaged Youth