Question

A hall is 14 m long and 10 m wide. It has two
doors, each measuring 2.4 m by 1.8 m and one
window measuring 1.8 m by 1.5 m. The cost
of white washing its four walls at ₹ 7.50 per m*
₹990. Find the height of the room.



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Answer 1

Explanation:

Cost of whitewashing for walls = 7.50 per meter²

Total cost of whitewashing = 990 rupees

Area on which whitewashing is done = 990 ÷ 7.5 = 132 meter²

Area of the 4 walls = 2(length × height) + 2(Width × height)

Let the height be 'h'

2(14h) + 2(10h) = 132

28h + 20h = 132

48h = 132

h = \frac{132}{48}

48

132

h = 2.75 meter

Height of the room is 2.75 meter

Answer 2

Height of the room is 2.75 meter.

Step-by-step explanation:

Cost of whitewashing for walls = 7.50 per meter²

Total cost of whitewashing = 990 rupees

Area on which whitewashing is done = 990 ÷ 7.5 = 132 meter²

Area of the 4 walls = 2(length × height) + 2(Width × height)

Let the height be 'h'

2(14h) + 2(10h) = 132

28h + 20h = 132

48h = 132

h = \frac{132}{48}

48

132

h = 2.75 meter

Height of the room is 2.75 meter.

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