The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four
walls at the rate of 10 per m'is 15000. find the height of the hall
(Hint: Area of the four walls =Lateral surface area.]
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Given:
Perimeter=250m
⇒Area of 4 walls =2lh+2bh
=2(b+l)h
⇒Perimeter of floor of wall =2l+2b
⇒2(l+b)=250 m
∴ Area of 4 walls =2(l+b)h
=250h m square
⇒Cost of painting per m sq area = Rs. 10
⇒Cost of painting 250m square area = Rs(250h×10)
= Rs.2500h
⇒Painting cost of walls = Rs. 15000
⇒2500h=15000
⇒h= 2500/15000
⇒h=6m
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