Tamil Nadu Board Solutions for Chapter: Measurements, Exercise 7: Exercise 2.3

The figure shown is the aerial view of the pathway. If the area of the pathway is $k {\mathrm{m}}^2$, find the value of $k$

A rectangular garden has dimensions $11 \mathrm{m}\times 8 \mathrm{m}$. A path of $2 \mathrm{m}$ wide has to be constructed along its sides. If the area of the path is $k {\mathrm{m}}^2$, find the value of $k$.

A picture is painted on a ceiling of a marriage hall whose length and breadth are $18 \mathrm{m}$ and $7 \mathrm{m}$ respectively. There is a border of $10 \mathrm{cm}$ along each of its sides. If the area of border is $A m^2$ then find the value of $A$.

A canal $\left(\mathrm{B}\right)$ of width $1 \mathrm{m}$ is constructed all along inside the field which is $24 \mathrm{m}$ long and $15 \mathrm{m}$ wide. Find the area of the canal $\left(\mathrm{B}\right)$.

A canal of width $1 \mathrm{m}$ is constructed all along inside the field which is $24 \mathrm{m}$ long and $15 \mathrm{m}$ wide. Find the cost of constructing the canal at the rate of $₹ 12$ per $\mathrm{sq}.\mathrm{m}$.

The formula to find the area of the circular path is

The formula used to find the area of the rectangular path is

The formula to find the width of the circular path is