Question

A figure is in the form of a quadrilateral $ABCD$ its area is $165c{m}^2$. Find the length of the perpendicular drawn from $D$ on $AC$ if $AC=15cm$ and length of perpendicular from $B$ on $AC$ is $12cm$.

• A. $10cm$
• B. $20cm$
• C. $30cm$
• D. $40cm$

Answer 1

The correct option is A $10cm$

Area of quadrilateral $=\frac{1}{2}d(h_1+h_2)$
$165c{m}^2=\frac{1}{2}\times 15(12+d)$
$330=180+15d$
$15d=150=\frac{150}{15}=10cm$