Question 6
In parallelogram $ABCD$, point $E$ is on $AD$ such that $AE=DE$, point $F$ is on $CD$ and point $H$ is on $AB$ such that $EF\perp DC$ and $CH\perp AB$. Let $AH:HB=3:2$ and point $G$ is on line $CH$. If the area of triangle $EFG$ is 296 cm², find the area, in cm², of parallelogram $ABCD$.
