Area of a square

$A=a\times a$
or
$A=a^2$

where $A$ : represents the area of the square
and $a$ –> is the length of the edge (or side) of the square

A1 - A represents the area of the square

Detailed explanation

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Given 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:
$A=a\times a$

or
$A=a^2$

where $A$ -> represents the area of the square

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

Let's look at an example

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

Solution:

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

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

Given the square:

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:

$A=L^2$

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:

$A=7^2=49$

Answer

$49$

Exercise #2

Look at the square below:

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:

$A=L^2$

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:

$A=3^2=9$

Answer

$9$

Exercise #3

Look at the square below:

What is the area of the square equivalent to?

Video Solution

Step-by-Step Solution

The area of a square is equal to the square of its side length.

In other words:

$S=a^2$

Since in the diagram we are given one side of the square, and in a square all sides are equal to each other, we will solve for the area of the square as follows:

$S=5^2=25$

Answer

$25$

Exercise #4

Look at the square below:

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:

$A=L^2$ 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:

$A=9^2=81$

Answer

$81$

Exercise #5

Look at the square below:

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:

$A=L^2$

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:

$A=2^2=4$

Answer

$4$

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Question 1

Look at the square below:

What is the area of the square?

Question 2

Look at the square below:

What is the area of the square equivalent to?

Question 3

Look at the square below:

What is the area of the square?

Start practice

Test yourself on area of the square!

Area of the Square

Let's look at an example

Examples and exercises with solutions for the area of a square

Exercise #1

Video Solution

Step-by-Step Solution

Answer

Exercise #2

Video Solution

Step-by-Step Solution

Answer

Exercise #3

Video Solution

Step-by-Step Solution

Answer

Exercise #4

Video Solution

Step-by-Step Solution

Answer

Exercise #5

Video Solution

Step-by-Step Solution

Answer

More Questions

Area of the Square