In rectangle $ABCD$, points $F,G$ lie on $\overline{AB}$ so that $AF=GB=\frac14AB$, 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 $75$. Find the area of triangle $EHJ$.