Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Perimeter and Area of Plane Figure, Exercise 8: Worksheet

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 $k$.

A square of side $6 \mathrm{cm}$ is inscribed in a circle as shown below. Find the area of the shaded portion. (Use $\mathrm{\pi }=3.14$)

If the area of the shaded portion is $k {\mathrm{cm}}^2$, then find the value of $k$

Find the cost of fencing of the field as shown below figure, at the rate of $₹ 15$ per metre.

Find the area of the below figure if $\mathrm{ABCD}$and $\mathrm{CDEF}$ are trapeziums.

If the required answer is $k {\mathrm{cm}}^2$, then find the value of $k$.

Find the area of a trapezium whose parallel sides are $36 \mathrm{m}$ and $12 \mathrm{m}$ and non-parallel sides are $15 \mathrm{m}$ each. If the area of a trapezium is $k {\mathrm{m}}^2,$ then find the value of $k$.

How many tiles measuring $20 \mathrm{cm}\times 20 \mathrm{cm}$ each will be required to pave a $1.5 \mathrm{m}$ wide strip around a $25 \mathrm{m}\times 16 \mathrm{m}$ hall.