Question 109
Let $ABCD$ be a square of side length $10$. Point $E$ is on ray $\overrightarrow{AB}$ such that $AE = 17$, and point $F$ is on ray $\overrightarrow{AD}$ such that $AF = 14$. The line through $B$ parallel to $CE$ and the line through $D$ parallel to $CF$ meet at $P$. Compute the area of quadrilateral $AEPF$.