Find the area of rhombus with side $4 cm$ and one of its angles is $120°$

The area of the parallelogram is $450 {\mathrm{m}}^2$. Its base is twice its altitude. Find the length of its base and altitude.

In the parallelogram $ABCD, AP\perp BC$ and $AQ\perp CD$. Find its area and $AQ$ if $AP=4 \mathrm{cm}, AB=6 \mathrm{cm}$ and $AD=18 \mathrm{cm}$.

The figure shows a running track around a grassed enclosure which consists of rectangle $\mathrm{PQRS}$ with a surrounding semicircular region at each end. $\mathrm{PQ}=200 \mathrm{m}, \mathrm{PS}=70 \mathrm{m}$. The outer perimeter of the track if the width of the track is $7 \mathrm{m}$.

A circle inscribed in  $△\mathrm{ABC}$, $\mathrm{AB}=\mathrm{AC}=15 \mathrm{cm}, \mathrm{BC}=24 \mathrm{cm}$. Calculate the radius of the incircle.

A circle inscribed in  $△\mathrm{ABC}$, $\mathrm{AB}=\mathrm{AC}=15 \mathrm{cm}, \mathrm{BC}=24 \mathrm{cm}$. Calculate the area of the shaded region.

With centre $\mathrm{O}$, quadrants of $2$ circles are drawn. If $\mathrm{OA}=5 \mathrm{cm}, \mathrm{AB}=7 \mathrm{cm}$, find the area of the shaded region.

The area between two concentric circles is $1078 {\mathrm{cm}}^2$. The circumference of the inner circle is $132 \mathrm{cm}$. Find the width of the ring?

In $△ABC$, $AB=BC$, $AC=42 \mathrm{cm}$ and $\angle B=90°$. On $AC$ as diameter, a semicircle is described. Find the area of the figure.