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

The area of a rectangular courtyard $30 \mathrm{m}$ long, is $450 {\mathrm{m}}^2$. Find its breadth and perimeter.

The sides of two squares are in the ratio $2 : 3$. Find the ratio of their perimeters and areas.

How many carpets, $3 \mathrm{m}$ by $2 \mathrm{m}$, are required to cover the floor of a hall $30 \mathrm{m}$ by $12 \mathrm{m}$ ?

A room is $5 \mathrm{m}$ by $4 \mathrm{m}$. Find the cost of cementing its floor at $₹7.50 \mathrm{per} {\mathrm{m}}^2$.

Find the area and perimeter of square plot of land, the length of whose diagonal is $14$ metres. Give your answer correct to $2$ places of decimals.

Find the area and perimeter of the shape illustrated in figure given below. The concerns are all right angles.

How many dusters, each of $16 {\mathrm{cm}}^2$ can be cut from material $84 \mathrm{cm}$ long, $36 \mathrm{cm}$ wide? What area remains over?

A floor which measures $15 \mathrm{m}\times 8 \mathrm{m}$ is to be laid with tiles measuring $50 \mathrm{cm}\times 25 \mathrm{cm}$. Find the number of tiles required. Further, if a carpet is laid on the floor so that a space of $1 \mathrm{m}$ exists between its edges and the edges of the floor, what fraction of the floor is uncovered ?