M. Tyra Solutions for Chapter: Measurement of Areas, Exercise 1: Exercises

In the figure given below, the perimeter of the circle is $220\mathrm{cm}$. What is the area of the shaded portion in ${\mathrm{cm}}^2$?

In the figure given below $\mathrm{GHI}$is an equitateral triangle with side $14\mathrm{cm}$ . $\mathrm{G}$ is the midpoint of $\mathrm{JL}.$ What is the area of the shaded portion (in ${\mathrm{cm}}^2$)?

A rectangular plot, $36 \mathrm{m}$long and $28 \mathrm{m}$ broad, has two concrete roads $5 \mathrm{m}$ wide running in the middle of the park, one parallel to the length and the other parallel to the breadth. What would be the total cost of gravelling the plot, excluding the area covered by the roads, @ $₹3.60$ per $\mathrm{sq} \mathrm{m}$?

In the following figure, $∆\mathrm{ABC}$ is an equilateral triangle and $\mathrm{BCDE}$is a square whose each side is $8\mathrm{cm}$  long. Find the area of pentagon $\mathrm{ABDEC}$in square cm

A rectangular plot has a concrete path running in the middle of the plot parallel to the breadth of the plot. The rest of the plot is used as a lawn which has an area of $240\mathrm{sq} \mathrm{m}$. If the width of the path is $3 \mathrm{m}$ and the length of the path is greater than its breadth by $2 \mathrm{m}$, what is the area of the rectangular plot? (in $\mathrm{sq} \mathrm{m}$)

A rectangular plot, $55 \mathrm{m}$ long and $45 \mathrm{m}$ broad, has two concrete crossroads (of equal width) running in the middle of it - one parallel to the length and the other parallel to the breadth. The rest of the plot is used as a lawn. If the area of the lawn is $1911{ \mathrm{m}}^2$, what is the width of each of the crossroads? (in m)

The radius of a circular field is equal to the side of a square field. If the difference between the area of the circular field and the area of the square field is $105{ \mathrm{m}}^2$, what is the perimeter of the circular field? (in metres)

The length and the breadth of a courtyard are $20 \mathrm{m}$ and $10 \mathrm{m}$ respectively. Square-shaped tiles of $2 \mathrm{m}$ length of different colours are used to pave the courtyard. Black tiles are laid along all the sides as the first row. If green tiles are laid in one-third of the remaining area, and yellow tiles in the rest of the area, then how many yellow tiles will be required?