Q5. - Geometry

Question

The area of a square is$64c{m}^2$ .What is the periemter?

Step-by-Step Solution

Answer

The periemter of the square is $32cm$ 

Step 1. Given information.

Area of the square is$A=64c{m}^2$ .

Step 2. Concept Used.

If is the side of the square

Then, the   area of the square is $A={\left(side\right)}^2$

Perimeter of the square:

$P=4\times \left(side\right)$

Step 3. Let’s calculate the area of the square.

Put the value of area into the formula and find the side length.

Area of the square:

$\begin{array}{c}64\text{Invalid <m:msup> element}=\\ s^2=64\\ s=\sqrt{64}\\ s=8cm\end{array}$

Perimeter of the square:

$\begin{array}{c}P=4\times \left(8\right)\\ =32cm\end{array}$

Therefore, the perimeter of the square is $32cm$.