B Nirmala Shastry Solutions for Exercise 4: MISCELLANEOUS EXERCISE

Find the area of $ABCDE$ where $BC=5 cm, CD=18 cm, DE=14 cm$ and $AE=6cm$

Find the area of quadrilateral $PQRS$ where $\angle Q=\angle S=90°$ and $PQ=7 cm, PR=25 cm$ and $RS=20 cm$

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

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 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?

The gate at the entrance of a garden looks like the given figure from the front. The length and breadth of each rectangle are $4 \mathrm{m}$ and $70 \mathrm{cm}$ respectively. The width of the entrance is $2.8 \mathrm{m}$. The top arch is made up of two concentric semicircles. Find the area of the face of the gate