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’is15000, find the height of the hall.
(Hint: Area of the four walls =Lateral surface area.]
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Answer:
The height of the hall is 6 m
Step-by-step explanation:
Given :
perimeter = 250m
=> Area of 4 walls = 2lh + 2bh
= 2 (b + l) h
=> perimeter of floor of wall = 2l + 2b
=> 2 (l +b) = 250m
therefore ,
Area of 4 walls = 2 (l + b ) h
= 250h m square
Now,
cost of painting per m square area = ₹ 10
cost of painting 250h m square area
= ₹ 250 h × 10
= ₹ 2500h
=> painting cost of walls = ₹ 15000
=> 2500h = ₹ 15000
=> h = 15000 / 2500
=> h = 6 m
Hence , the height of the hall is 6 m
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