MathNet 2019-part-04 — 184 problems (EN–VI) Question 153

In square $A B C D$, $P$ and $Q$ are points on sides $C D$ and $B C$, respectively, such that $\angle A P Q = 90^{\circ}$. If $A P = 4$ and $P Q = 3$, find the area of $A B C D$.