2014 AMC 10A 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\qquad\textbf{(B)}\ 48\qquad\textbf{(C)}\ 54\qquad\textbf{(D)}\ 60\qquad\textbf{(E)}\ 72

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.