Question

The area of a square is 225 sq. cm. Find its
perimeter. ​

Answer 1

$\huge\bold\red{Answer}$

Question says that,

find the perimeter whose square is 225 sq. cm

To find perimeter we use the formula

Perimeter = 4 × sides

Here,the side = ?

To find sides we use =

Area of square = side × side

225 = 15 × 15

15 will be the side

Now to find perimeter we use

Perimeter = 4× side

perimeter = 4× 15

15 ×4 = 60

Then the final answer is 60

Answer 2

Answer :

• Perimeter of the square ⇒ 60 cm

Clarification :

Here, we are given that the area of square is 225 sq. cm. We have to find out the perimeter of the square. In order to find the perimeter of the square, we need the measure of its side.

At first, we will calculate the side of the square by using its given area. Then, we'll substitute the values in the formula of the perimeter of the square in order to get the answer.

Given :

• Area of square = 225 cm²

To calculate :

• Perimeter of the square

Calculation :

We know that,

• Perimeter of the square = 4 × Side

We aren't given the measure of the side. Let us calculate the measure of the side first.

As we know that,

• Area of square = Side × Side

According to the question :

→ 225 = Side × Side

→ 225 = (Side)²

→ √225 = Side

Finding the square root of 225 :

5 | 225

5 | 45

3 | 9

3 | 3

⠀| 1

→ 225 = 5 × 5 × 3 × 3

→ √225 = 5 × 3

→ √225 = 15

→ 15 cm = Side

Hence, side of the square is 15 cm.

Now, Calculating perimeter :

• Perimeter of the square = 4 × Side

→ Perimeter of the square = (4 × 15) cm

→ Perimeter of the square = 60 cm

Therefore, perimeter of the square is 60 cm.

More about square :

• Perimeter of the square = 4 × Side

• Area of square = Side × Side

• All sides of the square are equal.

• A square is a parallelogram.

• Diagonals of the square bisect each other.

• Diagonals bisect each other at 90°.

• Each angle of a square measures 90°.