2002 Cayley Problem 23

In trapezoid ABCD, AD is parallel to BC. Also, BD is perpendicular to DC. The point F is chosen on line BD so that AF is perpendicular to BD. AF is extended to meet BC at point E. If AB = 41, AD = 50 and BF = 9, what is the area of quadrilateral FECD?

\textbf{(A)}\ 900\quad \textbf{(B)}\ 1523.5\quad \textbf{(C)}\ 960\quad \textbf{(D)}\ 1560\quad \textbf{(E)}\ 1300

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Full credit to this problem is given to the CEMC, you may view all Cayley contests here.