Question

If the perimeter of a square is $36cm,$then its area is

• A. $6sq.cm$
• B. $9sq.cm$
• C. $18sq.cm$
• D. $81sq.cm$

Answer 1

The correct option is D

$81sq.cm$

Since perimeter of square $=4\times side$

Then,

$$\begin{gathered} side=\frac{perimeter}{4} \\ side=\frac{36}{4} \\ side=9cm \end{gathered}$$

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

$={\left(9\right)}^2=81sq.cm$

Hence (d) is the correct option.