2001 AMC 12 Problem 22

In rectangle ABCD, points F and G lie on AB so that AF=FG=GB and E is the midpoint of \overline{DC}. Also, \overline{AC} intersects \overline{EF} at H and \overline{EG} at J. The area of the rectangle ABCD is 70. Find the area of triangle EHJ.

\text{(A) }\frac {5}{2} \qquad \text{(B) }\frac {35}{12} \qquad \text{(C) }3 \qquad \text{(D) }\frac {7}{2} \qquad \text{(E) }\frac {35}{8}

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