Question

A room is 16 m long and 13.5 m broad. Find the cost of covering its floor with 75-m-wide carpet at ₹60 per metre.

Answer 1

$$\begin{gathered} \mathrm{As},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{floor}=\mathrm{length}\times \mathrm{breadth} \\ =16\times 13.5 \\ =216{\mathrm{m}}^2 \\ \mathrm{And},\mathrm{the}\mathrm{width}\mathrm{of}\mathrm{the}\mathrm{carpet}=75\mathrm{m} \\ \mathrm{So},\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{carpet}\mathrm{required}=\frac{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{floor}}{\mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{carpet}} \\ =\frac{216}{75} \\ =2.88\mathrm{m} \\ \mathrm{Now},\mathrm{the}\mathrm{cost}\mathrm{of}\mathrm{the}\mathrm{carpet}\mathrm{required}=2.88\times 60=₹172.80 \end{gathered}$$

Hence, the cost of covering the floor with carpet is ₹172.80.

Disclaimer: The answer given in the textbook is incorrect. The same has been rectified above.