Question

The diagonals of a quadrilateral are $16cm$ and $13cm$. If they intersect each other at right angles; find the area of the quadrilateral.

• A. $104c{m}^2$
• B. $208c{m}^2$
• C. $52c{m}^2$
• D. $26c{m}^2$

Answer 1

The correct option is A $104c{m}^2$

Let the diagonals of quadrilateral be $d_1$ and $d_2$.

The diagonals bisect at right angles.
$\therefore$ the quadrilateral is a rhombus.
$\therefore$ Area of rhombus $=\frac{d_1{d}_2}{2}$
$=\frac{16\times 13}{2}$
$=104c{m}^2$