Question

A room is 16 long and 13.5 m broad. Find the cost of covering its floor with 75 cm-wide carpet at Rs 15 per metre.

Answer 1

Given:
Length of the room = 16 m
Breadth of the room = 13.5 m
Thus, we have:
$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{room}=\mathrm{length}\times \mathrm{breadth} \\ =16\times 13.5 \\ =216{\mathrm{m}}^2 \end{gathered}$$

Width of the carpet = 75 cm = 0.75 m

$$\begin{gathered} \mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{carpet}=\frac{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{room}}{\mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{carpet}} \\ =\frac{216}{0.75} \\ =288\mathrm{m} \end{gathered}$$

Cost of 75 cm carpet is Rs 15.

∴ Cost of covering the entire floor = $15\times 288$ = Rs 4320