Question

The cost of preparing the walls of a room 12m long at the rate of rs.1.35 per m²isrs.340.20 and the cost of matting the floor at 85paise per m² is rs.91.80.Find the height of the room.

Answer 1

Given, Length of the room, l = 12 m.

Let the breadth and height of the room be b m and h m respectively.

Area of the floor = l × b = 12 m × b m = 12b m²

Cost of matting the floor = Rs 0.85 / m²

∴ Total cost of matting the floor = Rs 0.85 × 12b

⇒ Rs 0.85 × 12b = Rs 91.80 (Given)

⇒ b = 9

Breadth of the room = 9 m

Area of walls of the room = 2h (l + b) = 2h (12 m + 9 m) = 42 h m²

Cost of preparing the walls = Rs 1.35 / m²

∴ Total cost of preparing the walls = Rs 1.35 × 42 h

⇒ Rs 1.35 × 42 h = Rs 340.20

⇒ h = 6

∴ Height of the room is 6 m.