Questions: How many ft^2 are in 113 yd^2? 347 ft^2 1,017 ft^2 894 ft^2 1,255 ft^2 682 ft^2

How many ft^2 are in 113 yd^2?
347 ft^2
1,017 ft^2
894 ft^2
1,255 ft^2
682 ft^2
Transcript text: How many $\mathrm{ft}^{2}$ are in $113 \mathrm{yd}^{2}$ ? $347 \mathrm{ft}^{2}$ $1,017 \mathrm{ft}^{2}$ $894 \mathrm{ft}^{2}$ $1,255 \mathrm{ft}^{2}$ $682 \mathrm{ft}^{2}$
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Solution

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Solution Steps

To convert square yards to square feet, we need to know that 1 yard is equal to 3 feet. Therefore, 1 square yard is equal to \(3 \times 3 = 9\) square feet. To find the equivalent in square feet for 113 square yards, we multiply 113 by 9.

Step 1: Understand the Conversion Factor

To convert from square yards to square feet, we need to know the conversion factor. Since \(1 \, \text{yard} = 3 \, \text{feet}\), it follows that \(1 \, \text{yd}^2 = 3^2 \, \text{ft}^2 = 9 \, \text{ft}^2\).

Step 2: Apply the Conversion

Given \(113 \, \text{yd}^2\), we multiply by the conversion factor to find the equivalent area in square feet: \[ 113 \, \text{yd}^2 \times 9 \, \text{ft}^2/\text{yd}^2 = 1017 \, \text{ft}^2 \]

Final Answer

\(\boxed{1,017 \, \text{ft}^2}\)

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