Question

What are the side and area measure of a square whose perimeter is 48 cm

Answer 1

Given :

• Perimeter of square = 48 cm.

To find :

• Side of square =?

• Area of square =?

Step-by-step explanation:

Perimeter of square = 48 cm. [Given]

Now,

We have to find the sides of the square,

So, we have to putt the formula of perimeter of square.

We know that,

Perimeter of square = 4 x side

Substituting the values in the above formula, we get,

➮ 48 = 4 x side

➮ 4 x side = 48

➮ 4side = 48

➮ side = 48 /4

➮ side = 12

Therefore, The side of the square = 12 cm

Now,

We have to find the area of the square,

We know that,

Area of Square = side²

Substituting the values in the above formula, we get,

= (12)²

= 12 x 12

= 144.

Therefore, The Area of the square = 144 cm².

Hence,

The side of the square = 12 cm.

The Area of the square = 144 cm².

Answer 2

$\huge {\red{\mathfrak{Question:-}}}$

• What are the side and area measure of a square whose perimeter is 48 cm ?

$\huge {\pink{\mathfrak{Solution :-}}}$

$\underline {\bold{Given:}}$

• Perimeter of the square = 48 cm

$\underline {\bold{To\:Find:}}$

• The side of the square.
• The area of the square.

$\boxed {\blue {Perimeter\:of\:square =4\times side}}$

Let the side be x cm.

$\implies Perimeter =4\times side \\ \\ \implies 48 = 4x \\ \\ \implies \dfrac{48}{4} =x \\ \\ \implies 12 = x \\ \\ \implies x = 12$

$\green {\therefore{\tt{The\:side\:of\:the\:square\:is\:12\:cm.}}}$

$\rule {121}{1}$

Now, we have :

• Side of the square = 12 cm

$\boxed {\blue {Area\:of\:square =Side \times side}}$

$\implies Area =Side \times side \\ \\\implies Area = 12 \: cm \times 12 \: cm \\ \\ \implies Area = 144 \: cm^2$

$\green {\therefore{\tt{The\:area\:of\:the\:square\:is\:144\:cm^2.}}}$

$\rule {307}{2}$