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Your dining room measures 7.6 m by 11.9 m. You have found the perfect carpet for the room, but it is sold in square yards. One yard equals 0.9144 metres. How many square yards of carpet do you need?

Question

Your dining room measures 7.6 m by 11.9 m. You have found the perfect carpet for the room, but it is sold in square yards. One yard equals 0.9144 metres. How many square yards of carpet do you need?

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Solution

First, we need to find the area of the room in square meters. We do this by multiplying the length of the room by the width of the room.

7.6 m * 11.9 m = 90.44 square meters

Next, we need to convert this area from square meters to square yards. We know that 1 yard equals 0.9144 meters, so 1 square yard equals 0.9144 meters * 0.9144 meters = 0.83612736 square meters.

So, to convert our area from square meters to square yards, we divide the area in square meters by the number of square meters in a square yard.

90.44 square meters / 0.83612736 square meters/square yard = 108.13 square yards

So, you would need approximately 108.13 square yards of carpet for the room. Since you can't buy a fraction of a square yard of carpet, you would need to round up to the nearest whole number, which is 109 square yards.

This problem has been solved

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