Question

The floor of a rectangular hall has a perimeter 250 m. If the cost of painting four walls at

the rate of Rs. 10 per m2

is Rs. 15,000, then find the height of the hall.​

Answer 1

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Let length, breadth, and height of the rectangular hall be l m, b m, and h m respectively.

Area of four walls = 2lh + 2bh = 2(l + b) h

Perimeter of the floor of hall = 2(l + b) = 250 m

Area of four walls = 2(l + b) h = 250h m2

Cost of painting per m2

area = Rs 10

Cost of painting 250h m2

area = Rs (250h × 10) = Rs 2500h

However, it is given that the cost of paining the walls is Rs 15000.

15000 = 2500h h = 6