Question

The length of diagonal of a square is $15\sqrt{2} cm$. Its area is

• A. 112.5 sq.cm
• B. 450 sq.cm
• C. $$\frac{225\sqrt{2}}{2} sq.cm$$
• D. 225 sq.cm

Answer 1

Answer:

D. 225 sq.cm

Diagonal of square $=\sqrt{2}\times{side}$

$\sqrt{2}\times{side}=15\sqrt{2}$

=>Side=\frac{15\sqrt{2}}{\sqrt{2}}=15

Area of square $= (side)^2$

$=15\times{15}=225cm^2$