Question

Find the area of a square if its diagonal is 5 cm.

• A. 12.5 $c{m}^2$
• B. 20 $c{m}^2$
• C. 25 $c{m}^2$
• D. 50 $c{m}^2$

Answer 1

The correct option is A 12.5 $c{m}^2$

Square is a special type of rhombus whose diagonals are equal. Hence
Area of square = Area of rhombus
= $\frac{1}{2}$$\times$(Product of diagonals)
= $\frac{1}{2}$$\times$(5$\times$5) = $\frac{25}{2}$ = 12.5