Question 5
$D$ is a point on side $AB$ and $E$ is a point on side $AC$ of triangle $ABC$. $P$ is the point of intersection of $BE$ and $CD$. The area of triangle $ABC$ is 12 $\mathrm{cm}^2$. Triangle $BPD$, triangle $CPE$ and the quadrilateral $ADPE$ all have the same area. What is the area, in $\mathrm{cm}^2$, of $ADPE$?
