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The base and height of the triangle are in the ratio $3:2$ and its area is $108 {\mathrm{cm}}^2$. Find its base and height.

Find the area of the parallelogram $PQRS$, if $PR=24 \mathrm{cm}$ and $QU=ST=8 \mathrm{cm}$.

In the figure $ABCD$ find the area of the shaded region.

In the figure $ABCD$ find the area of the shaded region.

In figure all the triangles are on the base $AB=24 \mathrm{cm}$. Is the height of each of the triangles drawn on base $AB$, the same?

Will all the triangles have equal area? Give reasons to support your answer. Are the triangles congruent also?

Select the correct answer:

The straight lines $4x+3y=12$ and $4x-3y=-12$ intersect the $x-axis$ at $A$ and $B$ respectively. If the length of the perpendicular drawn from $C$ to $AB$ be $4$ units, then the area of the $△ABC$ is 

Select the correct answer:

The areas of a square of sides $x$ and a triangle of base $x$ are equal, then the height of the triangle is

The perimeter of a triangle is $30 \mathrm{cm}$ and circumference of its incircle is $88 \mathrm{cm}.$ Find the area of the triangle in ${\mathrm{cm}}^2$.