EXERCISE 11.4

Through a rectangular field of length $90 \mathrm{m}$ and breadth $60 \mathrm{m},$ two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is $3 \mathrm{m}$ and the cost of constructing the roads at the rate of $₹110$ per ${\mathrm{m}}^2$ is $₹A$, find the value of $A$.

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. If the area of the whole land is $k {\mathrm{m}}^2$, then find the value of $k$.

The adjoining figure, represents a rectangular lawn with a circular flower bed in the middle. If the area of the flower bed is $k {\mathrm{m}}^2$, then find the value of $k$. (Use $\mathrm{\pi }=3.14$)

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. If the area of the lawn excluding the area of the flower bed is $k {\mathrm{m}}^2$, find the value of $k.$ (Take $\mathrm{\pi }=3.14$)

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find the value of $k$, if the circumference of the flower bed is $k \mathrm{m}$. (Use $\mathrm{\pi }=3.14$)

In the following figure, if the area of the shaded portion is $k {\mathrm{cm}}^2$, then find the value of $k.$

In the following figure, if the area of the shaded portion is $k {\mathrm{cm}}^2$, then find the value of $k.$

If the area of the quadrilateral $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$ is $k {\mathrm{cm}}^2$, then find the value of $k.$ Here, $\mathrm{A}\mathrm{C}=22 \mathrm{c}\mathrm{m}, \mathrm{B}\mathrm{M}=3 \mathrm{c}\mathrm{m},$ $\mathrm{D}\mathrm{N}=3 \mathrm{c}\mathrm{m}$ and $\mathrm{B}\mathrm{M}\perp \mathrm{A}\mathrm{C},\mathrm{}\mathrm{D}\mathrm{N}\perp \mathrm{A}\mathrm{C}$.