Question

The perimeter of a square is $144cm$, its area is _________sq. cm.

• A. $720$
• B. $576$
• C. $360$
• D. $1296$

Answer 1

The correct option is D

$1296$

Explanation for correct option

$optionD$

Step 1: Side of square

Given,

Perimeter of square $=144cm$

$\begin{array}{rcl}4\times side& =& 144\\ Side& =& \frac{144}{4}\\ Side& =& 36cm\end{array}$

Step 2: Area of square

Area of the square $=$${\left(side\right)}^2=side\times side$

$$\begin{gathered} ={\left(36\right)}^2=36\times 36 \\ =1296m^2 \end{gathered}$$

Therefore, $optionD$ is correct option.