EXERCISE 11.1

The length and the breadth of a rectangular piece of land are $500 \mathrm{m}$ and $300 \mathrm{m}$ respectively. If its area is $A {\mathrm{m}}^2$, then find the value of $A$.

The length and the breadth of a rectangular piece of land are $500 \mathrm{m}$ and $300 \mathrm{m}$ respectively. If the cost of the land at the rate of $₹\mathrm{10,000}/{\mathrm{m}}^2$ is $₹k$, then find the value of $k$.

If the area of a square park whose perimeter is $320 \mathrm{m}$ is $A {\mathrm{m}}^2$, then find the value of $A$.

The perimeter of a rectangular sheet is $100 \mathrm{c}\mathrm{m}.$ If the length is $35 \mathrm{c}\mathrm{m},$ find its breadth. Also find the area.

The area of a square park is the same as of a rectangular park. If the side of the square park is $60 \mathrm{m}$, the length of the rectangular park is $90 \mathrm{m}$ and the breadth of the rectangular park is $A \mathrm{m}$, then find the value of $A$.

A wire is in the shape of a rectangle. Its length is $40 \mathrm{c}\mathrm{m}$ and breadth is $22 \mathrm{c}\mathrm{m}.$ If the same wire is re-bent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?

The perimeter of a rectangle is $130 \mathrm{cm}$. If the breadth of the rectangle is $30 \mathrm{c}\mathrm{m},$ find its length. Also find the area of the rectangle.

A door of length $2 \mathrm{m}$ and breadth $1 \mathrm{m}$ is fitted in a wall. The length of the wall is $4.5 \mathrm{m}$ and the breadth is $3.6 \mathrm{m}$ (see the given figure). If the cost of white-washing the wall at the rate of $₹20$ per ${\mathrm{m}}^2$ is $₹k$, then find the value of $k$.