Question

The total cost of flooring a room at ₹85 per m² is ₹5100. If the length of the room is 8 metres, then find its breadth.

Answer 1

$$\begin{gathered} \mathrm{As},\mathrm{the}\mathrm{total}\mathrm{cost}\mathrm{of}\mathrm{flooring}=₹5100\mathrm{and} \\ \mathrm{the}\mathrm{rate}\mathrm{of}\mathrm{flooring}=₹85\mathrm{per}{\mathrm{m}}^2 \\ \mathrm{So},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{floor}=\frac{\mathrm{Total}\mathrm{cost}\mathrm{of}\mathrm{the}\mathrm{flooring}}{\mathrm{Rate}\mathrm{of}\mathrm{the}\mathrm{flooring}} \\ =\frac{5100}{85} \\ =60{\mathrm{m}}^2 \\ \mathrm{Also},\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{room}=8\mathrm{m} \\ \mathrm{Now},\mathrm{the}\mathrm{breadth}\mathrm{of}\mathrm{the}\mathrm{room}=\frac{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{floor}}{\mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{room}} \\ =\frac{60}{8} \\ =\frac{15}{2} \\ =7.5\mathrm{m} \end{gathered}$$

So, the breadth of the room is 7.5 m.