In $△\mathrm{ABC}, \mathrm{E}$ is the mid-point of side $\mathrm{AB} \mathrm{and} \mathrm{EBCD}$ is a parallelogram. If the area of $△\mathrm{ABC}$ is $80 {\mathrm{cm}}^2$, find the area of the parallelogram $\mathrm{EBCD}$.

In the following figure, $\mathrm{F} \mathrm{and} \mathrm{E}$ are points on the side $\mathrm{AD}$ of a triangle $\mathrm{ABD}$. Through $F$ a line is drawn parallel to $\mathrm{AB}$ to meet $\mathrm{BD}$ at point $\mathrm{C}$.

Prove that: $\mathrm{ar}.(△ \mathrm{ACE})=\mathrm{ar}. (\mathrm{quad}. \mathrm{BCEF})$.