Question 99
In $\triangle ABC$, $AB = 20$, $BC = 21$, and $CA = 29$. Point $M$ is on side $AB$ with $\frac{AM}{MB} = \frac{3}{2}$, while point $N$ is on side $BC$ with $\frac{CN}{NB} = 2$. $P$ and $Q$ are points on side $AC$ such that the line $MP$ is parallel to $BC$ and the line $NQ$ is parallel to $AB$. Suppose that $MP$ and $NQ$ intersect at point $R$. Find the area of $\triangle PQR$.