If the length and breadth of a rectangular plot are increased by $50\%$ and $20\%$ respectively, how many times will be the new area of the old area?

The area of a square is equal to the area of a rectangle. The side of the square is $6 \mathrm{cm}$ and the breadth of the rectangle is $2 \mathrm{cm}$ less than the side of the square. What is the length of the rectangle?

The length of a rectangular plot is increased by $30\%$ while its breadth remains unaltered. What will be the ratio between the area of the plot thus formed and the area of the original plot?

Area of a square is equal to the area of a circle. If the radius of the circle is $14 \mathrm{cm}$, what is the approximate length of the side of the square? (Take $\mathrm{\pi }=\frac{22}{7}$.)

The breadth of a rectangular field is$75\%$ of its length. If the diagonal of the field is $100 \mathrm{m}$, what is the area of the field?

A rectangular plot is $50 \mathrm{m}$ long and $20 \mathrm{m}$ broad. Inside it, there is a path $7\mathrm{m}$ wide all around the plot. What is the area of the path?

The length and breadth of a plot are $35 \mathrm{m}$ and $16 \mathrm{m}$, respectively. If the rate of fencing is $₹7$ per metre, what is the cost of fencing the whole plot?