The floor of a rectangular hall has a perimeter 250m.If the cost of painting the four walls at rate of₹10 per m^2 is ₹15000. Find the height of the hall.
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Answer:
⇒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
2
⇒Cost of painting per m
2
area = Rs. 10
⇒Cost of painting 250h m
2
area = Rs(250h×10)
= Rs.2500h
⇒Painting cost of walls = Rs. 15000
⇒2500h=15000
⇒h=
2500
15000
⇒h=6m
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