Question

The perimeter of a square is 24 cm. what is the area of the square?

Answer 1

Answer :-

• The area of the square is 36 cm².

Given :-

• The perimeter of a square is 24 cm.

To find :-

• The area of the square.

Step-by-step explanation :-

• Here, the perimeter of a square has been given to us. We have to find it's area.

• For this, we are first going to find it's side by using the formula required for finding the perimeter of the square and then use the side to find it's area.

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• Let's find the side of the square first!

We know that :-

$\underline{\boxed{\sf Perimeter \: of \:a\: square = 4 \times Side}}$

Here,

• Perimeter = 24 cm.

Let us assume :-

• The side of the square be x.

Hence,

$\longmapsto\sf24 = 4 \times x$

Multiplying 4 with x,

$\longmapsto\sf24 = 4x$

Transposing 4 from RHS to LHS, changing it's sign,

$\longmapsto\sf \dfrac{24}{4} = x$

Dividing 24 by 4,

$\longmapsto\overline{\boxed{\sf6 \: cm= x}}$

• Each side of the square = 6 cm.

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• Now, as we know the length of each side of the square, let's find it's area!

We know that :-

$\underline{\boxed{\sf Area \: of \: a \: square = Side \times Side}}$

Here,

• Side = 6 cm.

Hence,

$\longmapsto\sf Area = 6 \times 6$

Multiplying 6 with 6,

$\longmapsto\overline{\boxed{\sf Area = {36 \: cm}^{2}}}$

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• Hence, the area of the square is 36 cm².

Answer 2

Question :

• The perimeter of a square is 24 cm. what is the area of the square?

Answer :

• 36 cm².

Given :

• 24 cm.

To find :

• Area of square.

Solution :

• perimeter of square = 4 × side.

• perimeter = 24 cm.

• Square side be x.

• 24 = 4 × x

• 24 = 4x

• 24/4 = x

• 6 cm = x

Find it's area :

• Area of a square = Side × side

• Side = 6cm

• Area = 6 × 6

• Area = 36 cm².

So, area of square is 36 cm². $\:$