Question

Calculate the area of quadrilateral PQRS, whose diagonal $PR=20cm$and the lengths of perpendiculars from $Q$and $S$ on PR is $12cm$and $10cm$respectively.

Answer 1

Area of quadrilateral$=$Area of $\Delta PSR+$Area of $\Delta PQR$

Given $PR=20cm,SA=10cm,QB=12cm$

$=[\frac{1}{2}\times PR\times SA]+[\frac{1}{2}\times PR\times QB]$

$=\frac{1}{2}\times 20\times 10+\frac{1}{2}\times 20\times 12$

$=100+120$

$=220c{m}^2$.