the floor of a rectangular hall has a perimeter 200m if cost of painting the floor walls at the rate of rs15 per m² is rs 20000 find the height of wall
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ANSWER
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
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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