The lengths of the sides of a triangle are$33 \mathrm{cm}, 44 \mathrm{cm}$ and $55 \mathrm{cm}$ respectively. Find the area of the triangle and hence find the height corresponding to the side measuring$44 \mathrm{cm}$.

In a quadrilateral $\mathrm{ABCD}$, $\mathrm{AB}=28 \mathrm{cm}, \mathrm{BC}=26 \mathrm{cm}, \mathrm{CD}=50 \mathrm{cm}, \mathrm{DA}=40 \mathrm{cm}$ and diagonal $\mathrm{AC}=30 \mathrm{cm}$. Find the area of the quadrilateral.

In the given figure, $\mathrm{ABCD}$ is a rectangle with length $=36 \mathrm{m}$ and breadth $=24 \mathrm{m}$. In $∆\mathrm{ADE}, \mathrm{EF}\perp \mathrm{AD}$ and $\mathrm{EF}=15 \mathrm{m}$. Calculate the area of the shaded region.

In the given figure, $\mathrm{ABCD}$ is a rectangle in which $\mathrm{AB}=40 \mathrm{cm}$ and $\mathrm{BC}=25 \mathrm{cm}$. If $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$ be the midpoints of $\mathrm{AB}, \mathrm{BC}, \mathrm{CD}$ and $\mathrm{DA}$ respectively, find the area of the shaded region.