Question 22
In rectangle $ABCD,$ points $F$ and $G$ lie on $\overline{AB}$ 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 rectangle $ABCD$ is $70.$ Find the area of triangle $EHJ.$
