Question

Find the cost of carpeting a room 13 m by 9 m with a carpet of width 75 cm at the rate of Rs 105 per metre.

Answer 1

Area of the carpet = Area of the room
= (13 m $\times$ 9 m) = 117 m²

Now, width of the carpet = 75 cm (given)
= 0.75 m [since 1 m = 100 cm]

Length of the carpet = $\left(\frac{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{carpet}}{\mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{carpet}}\right)$ = $\left(\frac{117}{0.75}\right)$ m = 156 m
Rate of carpeting = Rs 105 per m
∴ Total cost of carpeting = Rs (156 $\times$105) = Rs 16380
Hence, the total cost of carpeting the room is Rs 16380.