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Question

Find the cost of carpeting a room 13m by 9m with a carpet of width 75cm at the rate of rupees 105 per m.

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Solution

Length of the room = 13 m
Breadth of the room = 9 m
Area of the room = l × b = 13 × 9 = 117 m2
Let the length of the carpet required = 'l' m
Width of the carpet = 75 cm = 0.75 m
Area of the carpet = Area of the room
⇒ l × 0.75 = 117
⇒ l = 117 / 0.75
⇒ l = 156 m
Length of the carpet required = 156 m
Cost of the carpet per metre = Rs 105
Total cost of the carpet = 156 × 105 = Rs 16380.

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