A path all around the inside of a rectangular park $37 \mathrm{m}$ by $30 \mathrm{m}$ occupies an area of $570 {\mathrm{m}}^2$. Find the width of the path.

In the given figure, find the area of each section if the width of each section is same.

Find the are of the hexagon $\mathrm{TAGORE},$ if $\mathrm{TO}=9 \mathrm{cm}, \mathrm{TS}=7 \mathrm{cm}, \mathrm{TH}=6 \mathrm{cm}, \mathrm{TF}=4 \mathrm{cm}, \mathrm{TB}=2 \mathrm{cm}, \mathrm{AB}=3 \mathrm{cm}, \mathrm{GH}=5 \mathrm{cm}, \mathrm{SR}=2 \mathrm{cm}$ and $\mathrm{EF}=4 \mathrm{cm}$

The diameter of a coin is$1 \mathrm{cm}$. If four of these coins  be placed on a table so that the rim of each touches that of the other two, find the area of the unoccupied space between them.

The length and breadth of the floor of a hall is $20 \mathrm{m}$ and $10 \mathrm{m}$ respectively. Squares tiles of $2 \mathrm{m}$ dimensions in three different colours are placed on the floor. The first row of tiles on all sides is black. Out of the remaining, one-third are white and the rest are blue. How many blue tiles are there?

An ant is moving around a few food pieces of different shapes scattered on the floor. Remember, circumference of a circle can be obtained by using the expression $c=2\mathrm{\pi r}$, where $r$ is the radius of the circle.