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The perimeter of a square is the length covered by its limits. The perimeter of a square is obtained by adding all the lengths of the sides. We know that a square is a 2D geometric figure that has all its sides with equal length. This means that the perimeter of the square depends only on the length of one side of the square.

Here, we will learn about the formula that can be used to calculate the parameter of a square. In addition, we will look at some solved examples that use this formula to find the perimeter.

##### GEOMETRY

Relevant for

Learning about the perimeter of a square with examples.

See examples

##### GEOMETRY

Relevant for

Learning about the perimeter of a square with examples.

See examples

## What is the formula to find the perimeter of a square?

The perimeter of any closed two-dimensional geometric figure is defined as the distance around the object. For a square, the perimeter can be calculated by adding the lengths of its four sides.

We know that all the sides of a square are equal, and therefore the formula for finding the perimeter of a square is 4 times the length of one side:

### Derivation of the perimeter of the square

The perimeter of a square is defined as the limits of the square.

The formula for the perimeter of the square is given by:

Perimeter = Sum of all four sides

Perimeter = side + side + side + side

Perimeter = 4 × side

Therefore, the perimeter of the square is equal to 4l, where l is equal to the length of one side of the square.

## Perimeter of a square – Examples with answers

With the following examples, you can practice using the formula to find the perimeter of a square. Each example has its respective solution, but it is recommended that you try to solve the exercises yourself before looking at the answer.

### EXAMPLE 1

Find the perimeter of a square that has sides with a length of 8 m.

We have that the length of the four sides of the square is 8 m. This is the only thing we need to calculate the perimeter. Therefore, we use the perimeter formula:

Thus, the perimeter of the square is 32 m.

### EXAMPLE 2

What is the perimeter of a square that has sides with a length of 12 m?

The length of the sides of the square is 12 m. Using the perimeter formula and plugging in the given value, we have:

Therefore, the perimeter of the square is 48 m.

### EXAMPLE 3

What is the perimeter of a square that has sides with a length of 25 cm?

The length of one side of the square is 25 cm. We can use this value in the formula to find the perimeter:

Therefore, the perimeter of the square is 100 cm.

### EXAMPLE 4

A square has a perimeter of 44 m. What is the length of its sides?

In this case, we start from the perimeter and we want to find the length of one of its sides. We use the same formula, but in this case, we have that the perimeter is 44 m, so we solve for the length:

Therefore, the length of each side of the square is 11 m.

### EXAMPLE 5

A square has a perimeter of 60 cm. What is the length of its sides?

We have that the perimeter of the square is 60 cm. We use the perimeter formula, plug in the given value, and solve for l to find the length of the sides:

Therefore, the length of the sides of the square is 15 m.

## Perimeter of a square – Practice problems

Solve the following perimeter problems using the formula detailed above. Select your answer and check it to see that you chose the correct answer.