Question 114
Let $ABCD$ be a square. Let $M$ be the midpoint of $\overline{DC}$, $N$ the midpoint of $\overline{AC}$, and $P$ the intersection of $\overline{BM}$ and $\overline{AC}$. What is the ratio of the area of $\triangle MNP$ to that of the square $ABCD$?