Question

If the perimeter of a square is 24 cm. Find its area.
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Answer 1

$\red {\bf {\underline {Given:-}}}$

✷ The perimeter of a square is 24 cm.

$\red {\bf {\underline {To\:Find:-}}}$

✷ It's Area.

$\red {\bf {\underline {Solution:-}}}$

One side of the square

$= \frac{24}{4} \: cm$

$= 6 \: cm$

We know that, formula of the area of a square,

$\purple{\star{ \: Area = {(one \: side)}^{2} }}$

So, the area of the square = ${6}^{2} \: cm = 36 \: cm$

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$\pink{\bf {\underline {Important\:Formulas:-}}}$

• Perimeter of square = 4 × one side

• Perimeter of rectangle = 2 (length + breadth)

• Area of rectangle = length × breadth

Answer 2

Given :

Perimeter of a square is 24 cm.

To Find :

Area of the square

Solution :

We know,

      Perimeter of the square = 4 × (Length of each side of the square)

Let the length of the sides be 'a'

So,    Perimeter of the square = 4 × a

⇒                  24                        = 4 × a

⇒                  a                          = $\frac{24}{4}$

∴                   a                          = 6 cm

Therefore, length of each side of the square is 6 cm

Now, Area of the square (A) = (Side)²

                                               =  (6)²

                                               = 36 cm²

∴ The area of the square is 36 cm².