Area of a square | Tutorela

$A=a\times a$
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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Test yourself on area of the square!

Look at the square below:

What is the area of the square equivalent to?

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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

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:

$S=5^2=25$