The cost of carpeting a room 15 meters long with a carpet 60 cm wide at Rs 3.25/meter is Rs 572. What is the breadth of the room?
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A.
12 meters
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B.
7.5 meters
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C.
7 meters
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D.
8.2 meters
Correct Answer:
C. 7 meters
Explanation:
To find the breadth of the room, you first determine the total length of the carpet used by dividing the total cost by the rate per meter: 572 / 3.25 = 176 meters. Next, calculate the area of the carpet, which is the same as the area of the room's floor. Convert the carpet width to meters (60 cm = 0.6 m) and multiply by the carpet length: 176 * 0.6 = 105.6 square meters. Finally, find the breadth of the room by dividing the floor area by the room's length: 105.6 / 15 = 7.04 meters. Rounding to the nearest available option gives 7 meters.
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