Area of a Square
(KS3, Year 7)
The LessonThe area of a square is found using the 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:
How to Find the Area of a SquareFinding the area of a square is easy.
QuestionWhat is the area of a square with sides of length 6 cm, as shown below?
Start with the formula:
Area = a2Don't forget: a2 = a × a (a squared).
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
- 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.
- Good luck!
Lesson SlidesThe slider below shows another real example of how to find the area of a square. Open the slider in a new tab
What Is a Square?A square is a flat shape which with four equal straight sides and four right angles.
Square NumbersA square number is a number multiplied by itself.
12 = 1 × 1 = 1 22 = 2 × 2 = 4 32 = 3 × 3 = 9The squares go 1, 4, 9... A square with side length 1 has an area of 1.
A square with side length 2 has an area of 4.
A square with side length 3 has an area of 9.
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.
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