A median of a triangle divides it into two

In the given figure, the area of parallelogram $ABCD$ is

In the below figure, $ABCD$ is trapezium with parallel side $AB=a cm \& DC=b cm. E \& F$ are mid-points of the non-parallel sides. The ratio of $ar\left(\square ABFE\right) \& ar\left(\square EFCD\right)$ is

In the figure given below, $AB\Vert DC$ and $AB\ne DC$. If the diagonals $\mathrm{AC}$ and $\mathrm{BD}$ of the trapezium $\mathrm{ABCD}$ intersect at $O$, then which of the following statements is not true?

In the figure given below, $PQRS$ is a parallelogram formed by drawing lines parallel to the diagonals of a quadrilateral $\mathrm{ABCD}$ through its corners. Prove that area of the parallelogram $\mathrm{PQRS}=2\times$ area of the quadrilateral $\mathrm{ABCD}$.

In the given figure, $X$ and $Y$ are points on the side $LN$ of triangle $LMN$. Through $X$, a line is drawn parallel to $LM$ to meet $MN$ at $Z$. Prove that area of $∆\mathrm{LZY}=$ area of quadrilateral $MZYX$.