To find out how many square yards of carpet are needed to cover the floor of a rectangular room that measures 12 feet by 6 feet, we first calculate the area in square feet.
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Calculate the area in square feet: \[ \text{Area} = \text{length} \times \text{width} = 12 , \text{feet} \times 6 , \text{feet} = 72 , \text{square feet} \]
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Convert square feet to square yards: Since there are 9 square feet in a square yard (because \(3 , \text{feet} \times 3 , \text{feet} = 9 , \text{square feet}\)), we convert square feet to square yards by dividing the area in square feet by 9.
\[ \text{Area in square yards} = \frac{72 , \text{square feet}}{9} = 8 , \text{square yards} \]
Thus, the amount of carpet needed to cover the floor of the room is 8 square yards.
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