Question 7
In the diagram below, $ABCD$ is a square. Point $E$ is the midpoint of $\overline{AD}.$ Points $F$ and $G$ lie on $\overline{CE},$ and $H$ and $J$ lie on $\overline{AB}$ and $\overline{BC},$ respectively, so that $FGHJ$ is a square. Points $K$ and $L$ lie on $\overline{GH},$ and $M$ and $N$ lie on $\overline{AD}$ and $\overline{AB},$ respectively, so that $KLMN$ is a square. The area of $KLMN$ is $99.$ Find the area of $FGHJ.$
