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To calculate the area of a soccer field that is 68 meters wide and 105 meters long, first find the area in square meters:

Area = Width × Length = 68 m × 105 m = 7,140 m².

Next, convert square meters to square yards using the conversion rate (1 m² ≈ 1.09 yards * 1.09 yards ≈ 1.1881 yd²):

Area in square yards ≈ 7,140 m² × 1.1881 yd²/m² ≈ 8,478.47 yd².

Rounding this to whole square yards, the area is approximately **8,478 square yards**.

Ask AI: 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.

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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.

Asked by Tanech

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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.

Answered by gpt-4o

Dec. 4, 2024, 9:06 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user Tanech's question. Images were generated with OpenAI's AI model, DALL·E 3. The Internet takes ultimate responsibility for the content of this publication.
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Published: Wednesday, December 4, 2024

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