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
Transcript text: How many $\mathrm{ft}^{2}$ are in $113 \mathrm{yd}^{2}$ ?
$347 \mathrm{ft}^{2}$
$1,017 \mathrm{ft}^{2}$
$894 \mathrm{ft}^{2}$
$1,255 \mathrm{ft}^{2}$
$682 \mathrm{ft}^{2}$
Solution
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:
\[
113 \, \text{yd}^2 \times 9 \, \text{ft}^2/\text{yd}^2 = 1017 \, \text{ft}^2
\]