The cost of painting the four walls of a room 12 m long at RS. 30 per m2 is RS. 7560 and the cost of covering the floor with mat at RS. 25 per m2 is RS. 2700. Find the dimensions of the room.
Given:
Length = 12 m
Cost per meter = Rs 30
Total cost = Rs 7560
Cost per meter for floor = Rs 25
Total cost for floor = Rs 2700
Let height be h
Now,
= 108 m2
= 9 m
= 252 m2
Area of 4 walls = 2(Length of walls × Height of walls) + 2(Breadth of walls × Height of walls)
⇒ 252 = 2(12 × h) + 2(9 × h)
⇒ 252 = 24h + 18h
⇒ 252 = 42h
⇒ h = 6 m
Therefore,
Dimensions = 12 m × 9 m × 6 m