Area of a square

🏆Practice area of the square

A=a×a A=a\times a
or
A=a2A=a^2

where AA : represents the area of the square
and aa –> is the length of the edge (or side) of the square

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Test yourself on area of the square!

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Look at the square below:

111111

What is the area of the square?

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Area of the Square

Calculating the area of a square is one of the simplest there is and works in a similar way to the area of a rectangle.
To calculate the area of a square we must multiply one side by itself.
This is because it is as if we multiplied the length by the height, just as is done with the rectangle.
Since all sides of the square are equal we will multiply side by side, or rather, we will calculate side squared.

The formula will look like this:
A=a×a A=a\times a

or
A=a2A=a^2

where AA -> represents the area of the square

and aa –> is the length of the edge (or side) of the square

Let's look at an example

Given:
ABCDABCD square
AB=4AB= 4
What is the area of the square?

Solution:

The side of the square measures 4 4 , we place it in the area calculation formula and we will obtain :
A=4×4 A=4\times4
A=16A=16
The area of the square is 16 cm2 16~cm² .


If you are interested in this article, you might also be interested in the following articles:

Square

Multiplication of the Sum of Two Elements by the Difference Between Them

The Formula for the Difference of Squares

The Formulas Relating to Two Expressions to the Power of 3

In the blog of Tutorela you will find a variety of articles about mathematics.


Examples and exercises with solutions for the area of a square

Exercise #1

Look at the square below:

404040

What is the area of the square?

Video Solution

Step-by-Step Solution

Remember that the area of the square is equal to the side of the square raised to the second power

The formula for the area of the square is:

A=L2 A=L^2

We calculate the area of the square:

A=402=1600 A=40^2=1600

Answer

1600 1600

Exercise #2

Look at the square below:

333

What is the area of the square?

Video Solution

Step-by-Step Solution

The area of the square is equal to the side of the square raised to the second power.

That is:

A=L2 A=L^2

Since the diagram provides us with one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

A=32=9 A=3^2=9

Answer

9 9

Exercise #3

Look at the square below:

101010

What is the area of the square?

Video Solution

Step-by-Step Solution

The area of the square is equal to the side of the square raised to the second power.

That is:

A=L2 A=L^2

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

A=102=100 A=10^2=100

Answer

100 100

Exercise #4

Look at the square below:

111111

What is the area of the square?

Video Solution

Step-by-Step Solution

The area of the square is equal to the side of the square raised to the second power.

That is:

A=L2 A=L^2

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

A=112=121 A=11^2=121

Answer

121 121

Exercise #5

Look at the square below:

121212

What is the area of the square?

Video Solution

Step-by-Step Solution

The area of the square is equal to the side of the square raised to the second power.

That is:

A=L2 A=L^2

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

A=122=144 A=12^2=144

Answer

144 144

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