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Question: A soccer field a width of 68 meters and a length of 105 meters. Find the area in whole square yards. Use 1≈ 1.09 yards.
To find the area of the soccer field in square yards, you first need to convert the dimensions from meters to yards using the given conversion factor (1 meter ≈ 1.09 yards). First, convert the width and length from meters to yards: - Width: \( 68 \, \text{meters} \times 1.09 \, \text{yards/meter} = 74.12 \, \text{yards} \) - Length: \( 105 \, \text{meters} \times 1.09 \, \text{yards/meter} = 114.45 \, \text{yards} \) Next, calculate the area in square yards by multiplying the converted width and length: \[ \text{Area} = 74.12 \, \text{yards} \times 114.45 \, \text{yards} \approx 8479.014 \, \text{square yards} \] Since we need the area in whole square yards, we round the result to the nearest whole number: \[ 8479.014 \approx 8479 \, \text{square yards} \] Therefore, the area of the soccer field is approximately \(\boxed{8479}\) square yards.
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