Question

If the diagonal of a square is $5\sqrt{2}$ cm, then find its perimeter.

• A. $20$ cm
• B. $20\sqrt{2}$ cm
• C. $50$ cm
• D. $25$ cm

Answer 1

The correct option is A $20$ cm

Perimeter of square= 4a

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

$\begin{array}{c}\therefore a=\frac{5\sqrt{2}}{\sqrt{2}}=5\\ \therefore Perimeter=5\times 4=20cm\end{array}$