Mathematics-Monster.com
(#mm)

menu

Area of a Square
(KS3, Year 7)

homesitemapgeometryfinding the area of a square
The area of a square is found using the formula:

area square formula In this formula, a is the length of each side of the square. The image below shows we mean by the length of the side:

square a2

How to Find the Area of a Square

Finding the area of a square is easy.

Question

What is the area of a square with sides of length 6 cm, as shown below? area of square example

Step-by-Step:

1

Start with the formula:
Area = a2
Don't forget: a2 = a × a (a squared).

2

Substitute the side length into the formula. In our example, a = 6.
Area = 62 = 6 × 6 = 36 cm2

Answer:

The area of the square with sides of length 6 cm is 36 cm2.

"Find the Area" Widget

Here is a widget to help you learn the formulas to find the areas of different shapes.
  • Click on the shape you're learning about.
  • Click on the pad to start.
  • Follow the instructions in the bottom-left corner.
  • On the last click, the formula, workings, and answer will appear in the yellow box.
  • Enjoy!
full page

Lesson Slides

The slider below shows another real example of how to find the area of a square.

What Is a Square?

A square is a flat shape which with four equal straight sides and four right angles.

Square Numbers

A square number is a number multiplied by itself.

12 = 1 × 1 = 1

22 = 2 × 2 = 4

32 = 3 × 3 = 9

The squares go 1, 4, 9... A square with side length 1 has an area of 1.

square 1 A square with side length 2 has an area of 4.

square 2 A square with side length 3 has an area of 9.

square 3 The areas go 1, 4, 9... The square of a number and the area of a square with side lengths of that number are the same.
author logo

This page was written by Stephen Clarke.

You might also like...

Help Us Improve Mathematics Monster

  • Do you disagree with something on this page?
  • Did you spot a typo?
Please tell us using this form.

Find Us Quicker!

  • When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.

Share This Page

share icon

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.

If you do, please tell us. It helps us a lot!

Create a QR Code

create QR code

Use our handy widget to create a QR code for this page...or any page.