Question 9
In the diagram below, ABCDE is a pentagon. Let AC and AD intersect BE at P and Q, respectively. Let the areas of ABP, AEQ, BCP, EDQ and CDQP be 6, 8, 9, 12 and $21\ \mathrm{cm}^2$, respectively. What is the area, in $\mathrm{cm}^2$, of APQ?
