The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs 10
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs 10 per m2 is Rs 15000, find the height of the hall.
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Let length, breadth and height of the hall be l, b and h respectively.
Perimeter of the floor of the hall = 2 (l + b) = 250 m.
Area of the four walls of the hall = 2h (l + b) ... (i)
Also, area of the four walls of the hall = 15000/ 10 m2
= 1500 m2 ... (ii)
From (i) and (ii), we have
2h (l + b) = 1500
⇒ h × 250 = 1500 [ 2(l + b) = 250]
⇒ h = 1500 /250 = 6
Hence, height of the hall is 6 m Ans
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