Question

The cost of preparing the walls of a room 12 m long at the rate of ₹1.35/m square 8s ₹340.20 and the cost of matting the floor at ₹0.85 /m square is ₹91.80. fine 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.


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