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. $216c{m}^2$
• B. $208c{m}^2$
• C. $104c{m}^2$
• D. $52c{m}^2$

Answer 1

Answer: (C)

$104c{m}^2$

Given that the diagonals of a quadrilateral are $16cm$ and $13cm$.
It is also given that the two diagonals intersect each other at right angles.

To find out: Area of the quadrilateral.

We know that, diagonals intersect each other at right angles in square, kite and rhombus
Hence, area $=\frac{\text{Product of diagonals}}{2}$
Therefore,
Area of the quadrilateral $=\frac{16\times 13}{2}$
$=8\times 13$
$=104c{m}^2$

Hence, the area of the given quadrilateral is $104c{m}^2$.