# Area of the square - Examples, Exercises and Solutions

$A=a\times a$
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

1. Square

## Practice Area of the square

### Exercise #1

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

$81$

### Exercise #2

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

$49$

### Exercise #3

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

$9$

### 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 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

$100$

### 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:

$A=11^2=121$

### Answer

$121$

### Exercise #1

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:

$A=2^2=4$

### Answer

$4$

### 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:

$A=12^2=144$

### Answer

$144$

### Exercise #3

Look at 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:

$A=20^2=400$

### Answer

$400$

### Exercise #4

Look at the square below:

What is its area?

### 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:

$A=13^2=169$

### Answer

$169$

### Exercise #5

Look at the square below:

What is its area?

### 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:

$A=6^2=36$

### Answer

$36$

### Exercise #1

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:

$A=30^2=900$

### Answer

$900$

### Exercise #2

Look at the square below:

What is the area of the square equivalent to?

### 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:

$A=14^2=196$

### Answer

$196$

### Exercise #3

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:

$A=25^2=625$

### Answer

$625$

### Exercise #4

Look at the square below:

What is the area of the square?

### 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:

$A=L^2$

We calculate the area of the square:

$A=40^2=1600$

### Answer

$1600$

### Exercise #5

The two squares above are similar.

If the area of the small square is 25, then how long are its sides?

### Step-by-Step Solution

The area of the large square is:
$10^2=100$

The area of the small square is 25.

$\frac{100}{25}=4$

The square root of 4 is equal to 2.

We will call X the length of the side:

$\frac{10}{x}=2$

$2x=10$

$x=5$

5

1. Area