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Question

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.]

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Solution

Let length, breadth, and height of the rectangular hall be l m,b m and h m respectively.

Area of four walls 2(lh+bh)

=2h(l+b)

= 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

Cost of painting per m2 area =Rs. 10

Cost of painting 250h m2 area =250h×10=2500h

However, it is given that the cost of paining the walls is Rs15000.

15000=2500h
h=150002500
h=6

Therefore, the height of the hall is 6 m


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