A diagonal of a quadrilateral is $12 \mathrm{cm}$ long. The perpendiculars to the diagonal from opposite vertices are of length $7 \mathrm{cm}$ and $9 \mathrm{cm}$, respectively. Find the area of the quadrilateral, if area of the quadrilateral is $k {\mathrm{cm}}^2$, then write the value of $k$ in answer box.

Find the area of the following figure considering the measurement is in ${\mathrm{cm}}^2$.

Find the area of the following figure considering the measurement is in ${\mathrm{cm}}^2$.

Find the area of the following figure considering the measurement is in ${\mathrm{cm}}^2$.

Find the area of the following figure considering the measurement is in ${\mathrm{cm}}^2$.

Find the area of the following figure considering the measurement is in ${\mathrm{cm}}^2$.

Find the area of the shaded portion in the figure given below. If the area of the shaded portion is $k {\mathrm{cm}}^2$, then find the value of $k$.

Find the area of square $\mathrm{ABCD}$ as shown below, formed by joining the midpoints of sides of another square $\mathrm{LMNP}$ of sides $8 \mathrm{cm}$. If area of square $\mathrm{ABCD}$ is $k {\mathrm{cm}}^2$, then find the value of $k$.

$\mathrm{PQRS}$ is a quadrilateral in which $\mathrm{PQ}\parallel \mathrm{RS}, \mathrm{PS}\perp \mathrm{RS}$. If $\mathrm{SR}=8 \mathrm{cm}$, $\mathrm{PQ}=\mathrm{QR}=5 \mathrm{cm}$, find the area of quadrilateral $\mathrm{PQRS}$. If the area of quadrilateral $\mathrm{PQRS}$ is $k {\mathrm{cm}}^2$, then find the value of $k$.