AMC 10 2014a Problem 14

The $y$-intercepts, $P$ and $Q$, of two perpendicular lines intersecting at the point $A(6,8)$ have a sum of zero. What is the area of $\triangle APQ$? $\textbf{(A)}\ 45 \textbf{(B)}\ 48 \textbf{(C)}\ 54 \textbf{(D)}\ 60 \textbf{(E)}\ 72$