Question

How many metres of carpet 63 cm wide will be required to cover the floor of a room 14 m by 9 m?

(a) 200 m
(b) 210 m
(c) 220 m
(d) 185 m

Answer 1

(a) 200 m

Area of the floor of a room = 14 m × 9 m = 126 m²

Width of the carpet = 63 cm = 0.63 m (since 100 cm = 1 m)

∴ Required length of the carpet = $\frac{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{floor}\mathrm{of}\mathrm{a}\mathrm{room}}{\mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{carpet}}$
= $\left(\frac{126}{0.63}\right)\mathrm{m}=200\mathrm{m}$