Q. 34.0( 418 Votes )

The floor of a rectangular hall has a perimeter 250 m. If the cost of painting 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]

Answer :

Given: Perimeter of the floor of hall = 250 m, Cost of painting the four walls = Rs. 15, 000
To Find: Height of the hall
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)

Perimeter of the floor of hall = 250 m
Therefore, 2(l + b) = 250 m
Putting this value in the formula of Area of four walls we get,

Area of four walls = 2(l + b) h

Area of four walls = 250h m2

Cost of painting per m2 area = Rs 10

Cost of painting 250h m2 area = Rs (250h × 10)

= Rs 2500h

However, it is given that the cost of painting the walls is Rs 15000

15000 = 2500h


h = 6

Therefore, the height of the hall is 6 m

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