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Your dining room measures 8.2 m by 8.5 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 8.2 m by 8.5 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 calculate the area of the dining room in square meters. The area of a rectangle is calculated by multiplying the length by the width. So, the area of the dining room is 8.2 m * 8.5 m = 69.7 square meters.

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

To convert the area of the dining room from square meters to square yards, we divide the area in square meters by the area of one square yard in square meters.

So, the area of the dining room in square yards is 69.7 square meters / 0.83612736 square meters/square yard = 83.37 square yards.

Therefore, you would need approximately 84 square yards of carpet for the dining room, as it's always better to round up to ensure you have enough carpet.

This problem has been solved

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