The floor of a rectangle hall has a perimeter 250 . If the cost of painting the four
walls at the rate of ₹ 12 per 2
is ₹ 18000, find the height of the hall.
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The area of the four walls can also be obtained by dividing the total cost of the painting by the rate of painting per m2. Let the length, breadth, and height of the room be l, b, and h respectively. The cost of painting the four walls is ₹15000. Thus, the height of the hall is 6 m.
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Answer:
Given.
Perimeter 250m
→ Area of 4 walls = 21h + 2bh
= 2(b + 1)h
→ Perimeter of floor of wall = 21 + 2b
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⇒ 2(1 + b) = 250 m
... Area of 4 walls = 2(1 + b)h
= 250h m²
→ Cost of painting per m² area = Rs. 10
→ Cost of painting 250h m² area = Rs
(250h × 10)
= Rs.2500h
→
Painting cost of walls = Rs. 15000
→ 2500h = 15000
15000 2500
→ h = 6m
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