Question

Find perimeter of a square if its diagonal is $16\sqrt{2}cm$.

• A. $16cm$
• B. $64\sqrt{2}cm$
• C. $32cm$
• D. $64cm$

Answer 1

The correct option is D $64cm$

Perimeter of square= 4a

Diagonals of square= $D=\sqrt{2}a$

$\begin{array}{c}\therefore a=\frac{16\sqrt{2}}{\sqrt{2}}=16\\ \therefore Perimeter=16\times 4=64cm\end{array}$