Question

If BP:PC = 1:2 and area $\Delta$CPQ = 20 sq.cm, then which of the shaded regions has an area of 40sq.cm.

• A.
• B.
• C.

Answer 1

The correct option is B

$\frac{area\left(\Delta BPQ\right)}{area\left(\Delta CPD\right)}=(\frac{BP}{PC}{)}^2=(\frac{1}{2}{)}^2$
$\frac{10}{area\left(\Delta CPD\right)}=\frac{1}{4}$
$area\left(\Delta CPD\right)$ = 40sq.cm