Understanding Perimeter vs. Area

Contributor: Ashley Nail. Lesson ID: 13242

Do you love playing foursquare with friends? Then, you can love geometry too! Learn how to measure area and perimeter until you are in the king square and can quiz your friends and family!

categories

Geometry, Measurement and Data

subject
Math
learning style
Visual
personality style
Lion, Beaver
Grade Level
Intermediate (3-5)
Lesson Type
Quick Query

Lesson Plan - Get It!

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  • Have you ever played foursquare?

Imagine playing with your friends on the playground. In between rounds, one of your friends asks, "I wonder how much space the foursquare court takes up on the blacktop?"

Your other friend starts measuring the white border around the court. Your first friend yells, "That's not right! You need to measure the colored parts!"

  • Which friend is right?
  • What is the difference between these two measurements?

In order to answer your friend's question, you need to understand the difference between area and perimeter.

Both of these measurements deal with plane shapes, also known as two-dimensional shapes. Imagine shapes that you can draw on paper. (If you need a review, check out our lesson under Additional Resources in the right-hand sidebar.)

Perimeter measures the distance around a shape.

Area measures the space covering a shape.

perimeter and area examples

  • The blue line going around the shapes represents the perimeter.
  • The red space covering the inside of the shapes represents the area.

Now, let's look at our foursquare court. Imagine redrawing the foursquare court on a piece of graph paper:

foursquare diagram

On our drawing, the blue line going around the foursquare court is measuring the perimeter. The red space covering the foursquare court is the area of the shape.

To find the perimeter of the shape, we need to count the units around the outline of the shape:

perimeter of the foursquare

To find the area, we will count the square units covering the shape inside the outline:

area of the foursquare

So to answer your friend's question; the perimeter of the foursquare court is 8 units, and the area of the court is 4 square units. Both of these measurements are accurate in describing the size of the foursquare court.

Now, let's imagine your friend draws a hopscotch that looks like this:

hopscotch

First, let's find the perimeter of the shape by counting around the outline of the shape:

hopscotch perimeter

Now, we will find the area of the shape by counting the spaces covering the inside of the shape.

hopscotch area

The hopscotch has a perimeter of 20 units and an area of 9 square units.

You are ready to find the perimeter and area of shapes by counting the square units!

Visit the Got It? section to practice.

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