In rectangle $ABCD$, point $F$ is the midpoint of $\overline{AB}$. Point $G$ lies on $\overline{AB}$ such that $AG=\frac{3}{4}AB$. Point $E$ 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 $100$. Find the area of triangle $EHJ$.