Problem
1996 AHSME Problem 17
In rectangle ABCD, angle C is trisected by \overline{CF} and \overline{CE}, where E is on \overline{AB}, F is on \overline{AD}, BE=6 and AF=2. Which of the following is closest to the area of the rectangle ABCD? ![[asy] pair A=origin, B=(10,0), C=(10,7), D=(0,7), E=(5,0), F=(0,2); draw(A--B--C--D--cycle, linewidth(0.8)); draw(E--C--F); dot(A^^B^^C^^D^^E^^F); label("$A$", A, dir((5, 3.5)--A)); label("$B$", B, dir((5, 3.5)--B)); label("$C$", C, dir((5, 3.5)--C)); label("$D$", D, dir((5, 3.5)--D)); label("$E$", E, dir((5, 3.5)--E)); label("$F$", F, dir((5, 3.5)--F)); label("$2$", (0,1), dir(0)); label("$6$", (7.5,0), N);[/asy]](/static/aops/6514d7d3f38ac6ef7e2a61a9c761d3ea53e8ef95.png)
\text{(A)}\ 110\qquad\text{(B)}\ 120\qquad\text{(C)}\ 130\qquad\text{(D)}\ 140\qquad\text{(E)}\ 150
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