The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m^2 is Rs.15000,
The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.
[Hint: Area of the four walls = Lateral surface area.]
2 Answers
Let length, breadth, and height of the rectangular hall be l m, b m, and h m respectively.
Area of four walls = 2lh + 2bh = 2(l + b) h
Perimeter of the floor of hall = 2(l + b) = 250 m
∴ Area of four walls = 2(l + b) h = 250h m2
∴ 15000 = 2500h h = 6
Therefore, the height of the hall is 6 m.
Let length, breadth, and height of the rectangular hall be l m, b m, and h m respectively.
Area of four walls = 2lh + 2bh
= 2(l + b) h
Perimeter of the floor of hall = 2(l + b)
= 250 m
∴ Area of four walls = 2(l + b) h = 250h m2
∴ 15000 = 2500h h = 6
Therefore, the height of the hall is 6 m.