Area of the Square

Understanding Area of the Square

Complete explanation with examples

Area of a Square

The area of a square represents the amount of space inside its four equal sides. It is calculated using the formula:

$Area=side^2$

Let's take this square as an example:

The area will be: $A=a\times a$ 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

Another way to calculate the square's area is by the diagonals:

$A = \frac{Diagonal \times Diagonal}{2}$

A1 - A represents the area of the square

Detailed explanation

Practice Area of the Square

Test your knowledge with 17 quizzes

Look at the square below:

What is the area of the square equivalent to?

Examples with solutions for Area of the Square

Step-by-step solutions included

Exercise #1

Look at the square below:

What is the area of the square equivalent to?

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:

$25$

Video Solution

Exercise #2

Look at the square below:

What is the area of the square?

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:

$81$

Video Solution

Exercise #3

Given the square:

What is the area of the square?

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:

$49$

Video Solution

Exercise #4

Look at the square below:

What is the area of the square?

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:

$9$

Video Solution

Exercise #5

Look at the square below:

What is the area of the square?

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:

$A=10^2=100$

Answer:

$100$

Video Solution

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Area of the Square - Examples, Exercises and Solutions

Understanding Area of the Square

Area of a Square

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Examples with solutions for Area of the Square

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