The altitude of a trapezium whose area is $105 {\mathrm{cm}}^2$ and bases are $14 \mathrm{cm}$ and $7 \mathrm{cm}$ is $h \mathrm{cm}$. The value of $h$ is

In the given figure, $ABCD$ is a parallelogram, $O$ is any point on $AC$. $PQ\parallel AB$ and $LM\parallel AD$. Prove that $ar\left({\parallel }^{\mathrm{gm}}DLOP\right)=ar\left({\parallel }^{\mathrm{gm}}BMOQ\right)$.

In the given figure, $ABCD$ is a parallelogram and $GBEF$ is a rectangle. Find $x$ and $y$.

Consider a parallelogram $\mathrm{ABCD}$ in the figure given below. Find the value of $\mathrm{x}$ and $\mathrm{y}$.

If $\mathrm{PQRS}$ is a parallelogram, then $\mathrm{y}$ equals

In the adjacent figure, angle $\mathrm{P}$and angle $\mathrm{R}$ are in the ratio of $3:7$, then the value of $\mathrm{a}$ is