19. The square $A B C D$ has sides of length 105 . The point $M$ is the midpoint of side $B C$. The point $N$ is the midpoint of $B M$. The lines $B D$ and $A M$ meet at the point $P$. The lines $B D$ and $A N$ meet at the point $Q$.
What is the area of triangle $A P Q$ ?