1978 AHSME Problem 29

Sides AB,~ BC, ~CD and DA, respectively, of convex quadrilateral ABCD are extended past B,~ C ,~ D and A to points B',~C',~ D' and A'. Also, AB = BB' = 6,~ BC = CC' = 7, ~CD = DD' = 8 and DA = AA' = 9; and the area of ABCD is 10. The area of A 'B 'C'D' is

\textbf{(A) }20\qquad \textbf{(B) }40\qquad \textbf{(C) }45\qquad \textbf{(D) }50\qquad \textbf{(E) }60

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