O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Perimeter and Area, Exercise 1: Exercise

A farm is $380 \mathrm{m}$ by $100 \mathrm{m}$. Find the cost of manuring the farm at $\mathrm{₹} 450.00$ per $\mathrm{quintal}$, if $2$ $\mathrm{quintals}$ of manure has to be applied per $\mathrm{hectare}$.

The length of a rectangular field is twice its breadth and its area is $2$ $\mathrm{hectares}$. Find the cost of fencing the field at $\mathrm{₹} 50.00$ per $\mathrm{metre}$.

The length of a rectangle is $20\%$ more than its breadth. The ratio of the area of a rectangle to that of a square whose side is equal to the breadth of the rectangle is $6:n$. Find the value of $n$.

How many envelopes can be made out of a sheet of paper $125 \mathrm{c}\mathrm{m}$ by $85 \mathrm{c}\mathrm{m}$; supposing one envelope requires a piece of paper of size $17 \mathrm{c}\mathrm{m}$ by $5 \mathrm{c}\mathrm{m}$?

Two plots of land have the same perimeter. One is a square of side $60 \mathrm{m}$, while the other is a rectangle whose breadth is $1.5 \mathrm{d}\mathrm{a}\mathrm{m}$. Which plot has the greater area and by how much?

It costs $\mathrm{₹} 8704$ to fence a square field at the rate of $\mathrm{₹} 8.50$ per $\mathrm{metre}$. The area of the field is $k m^2$. Find $k$.

A room is $8 \mathrm{m}$ long, $7.6 \mathrm{m}$ wide and $3.5 \mathrm{m}$ high. The walls are to be distempered, allowing $25 {\mathrm{m}}^2$ for doors, windows, etc. If the total area to be distempered is $k {\mathrm{m}}^2$, find the value of $k$.

The walls and ceiling of a room $7 \mathrm{m}$ long, $5 \mathrm{m}$ wide and $3.5 \mathrm{m}$ high are covered with paper $6 \mathrm{d}\mathrm{m}$ wide. Find the length of paper required, if no length less than a $\mathrm{metre}$ can be bought.