How to Find the Area of a Square (Mathematics Lesson)
How to Find the Area of a SquareThe 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:
A Real Example of How to Find the Area of a Square
An Example QuestionWhat is the area of a square with sides of length 6 cm, as shown below?
Step 1Start with the formula:
Area = a2Don't forget: a2 = a × a (a squared)
Step 2Substitute the side length into the formula. In our example, a = 6.
Area = 62 = 6 × 6 = 36 cm2The area of the square with sides of length 6 cm is 36 cm2.
Another Real Example of How to Find the Area of a SquareThe slider below shows another real example of how to find the area of a square:
Here's a second test on finding the area of a square.
Here's a third test on finding 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 NumbersA 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.
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.