In rectangle $ABCD$, points $F,G$ lie on $\overline{AD}$ such that $AF=\frac{1}{4}AD$ and $AG=\frac{1}{2}AD$. Point $E$ is the midpoint of $\overline{BC}$. Also, $\overline{BD}$ intersects $\overline{FE}$ at $H$ and $\overline{GE}$ at $J$. The area of the rectangle $ABCD$ is $80$. Find the area of triangle $EHJ$.