Question 15In square $ABCD,$ points $P$ and $Q$ lie on $\overline{AD}$ and $\overline{AB},$ respectively. Segments $\overline{BP}$ and $\overline{CQ}$ intersect at right angles at $R,$ with $BR = 6$ and $PR = 7.$ What is the area of the square? $ 85 $$ 93 $$ 100 $$ 117 $$ 125 $
