Tamil Nadu Board Solutions for Chapter: Measurements, Exercise 8: Exercise 2.4

A circular path has to be constructed around a circular lawn. If the outer and inner circumferences of the path are $88 \mathrm{cm}$ and $44 \mathrm{cm}$ respectively, find the width and area of the path.

A path $5 \mathrm{m}$ wide runs along the inside of the rectangular field. The length of the rectangular field is three times the breadth of the field. If the area of the path is $500 {\mathrm{m}}^2$, then find the length and breadth of the field.

A circular path has to be constructed around a circular ground. If the areas of the outer and inner circles are $1386 {\mathrm{m}}^2$ and $616 {\mathrm{m}}^2$ respectively, find the width and area of the path.

A goat is tethered with a rope of length $45 \mathrm{m}$ at the centre of the circular grass land whose radius is $52 \mathrm{m}$. Find the area of the grassland that the goat cannot graze. Give the answer in ${\mathrm{m}}^2.$

A strip of $4 \mathrm{cm}$ wide is cut and removed from all the sides of the rectangular cardboard with dimensions $30 \mathrm{cm}\times 20 \mathrm{cm}$. Find the area of the removed portion and area of the remaining cardboard.

A rectangular field is of dimension $20 \mathrm{m}\times 15 \mathrm{m}$. Two paths run parallel to the sides of the rectangle through the center of the field. The width of the longer path is $2 \mathrm{m}$ and that of the shorter path is $1 \mathrm{m}$. Find the area of the paths in ${\mathrm{m}}^2.$

A rectangular field is of dimension $20 \mathrm{m}\times 15 \mathrm{m}$. Two paths run parallel to the sides of the rectangle through the center of the field. The width of the longer path is $2 \mathrm{m}$ and that of the shorter path is $1 \mathrm{m}$. Find, the area of the remaining portion of the field in ${\mathrm{m}}^2$.

A rectangular field is of dimension $20 \mathrm{m}\times 15 \mathrm{m}$. Two paths run parallel to the sides of the rectangle through the center of the field. The width of the longer path is $2 \mathrm{m}$ and that of the shorter path is $1 \mathrm{m}$. Find the cost of constructing the roads at the rate of $₹10 \mathrm{per} \mathrm{sq}.\mathrm{m}.$ Give the answer in $₹.$