Question

A square has a perimeter of 36cm.

What’s the area of that square?

Answer 1

Answer :

• Area of square is 81cm²

Given :

• A square has a Perimeter of 36cm

To find :

• Area of square

Solution :

First we need to find the side :

Given

• Perimeter of square is 36cm

We know that

• Side = Perimeter/4

⇢ Side = Perimeter/4

⇢ Side = 36/4

⇢ Side = 9cm

Finding the area of square :

We know that

• Area of square = Side × side

⇢ Area of square = 9 × 9

⇢ Area of square = 81cm²

Hence , Area of square is 81cm²

Answer 2

Answer:

Area of the square is $81$ $cm^{2}$.

Step-by-step explanation:

Given : Perimeter of square = $36$ cm

To find : Area of the square = ?

Solution :

• It is given that the perimeter of square = $36$ cm
• We have to find the area of the square.
• To find the area of the square, we should know the formula for area of the square.
• The formula for the area of the square is given by,

                          Area of the square = $(side^{2} )$

• To find the area of the square, we have to first find the side of the square.
• We have given the perimeter of the square.
• Perimeter is the sum of all sides of the square. Square has four sides of equal length.
• The formula for perimeter of square is given by,

             Perimeter of square = $4*side$

                                    ∴  $36=4*side$

                                  ∴ Side = $\frac{36}{4}$

                                  ∴ Side = $9$ cm

• Now,

                 Area of the square = $(side^{2} )$

                                             = $9^{2}$

                                             = $81$ $cm^{2}$

• ∴ Area of the square is $81$ $cm^{2}$.