To calculate the surface area of the shape described, we need to consider both the rectangle and the circles attached to it.
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Surface Area of the Rectangle:
- The rectangle's height is 18 yards, and we need to find its width. However, width is not provided directly. Let's denote the width as \(w\).
- The area of the rectangle \(A_{\text{rectangle}} = \text{height} \times \text{width} = 18 \times w\).
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Surface Area of the Circles:
- The diameter of each circle is 15 yards, so the radius \(r = \frac{15}{2} = 7.5\) yards.
- The area of one circle \(A_{\text{circle}} = \pi r^2 = 3.14 \times (7.5)^2 = 3.14 \times 56.25 = 176.625\) square yards.
- Since there are two circles, the combined area of both circles \(A_{\text{circles}} = 2 \times 176.625 = 353.25\) square yards.
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Total Surface Area:
- The total surface area can be estimated (although the width of the rectangle isn't specified, we can suppose it is large enough to include these circles):
- The surface area of the shape \(A_{\text{total}} = A_{\text{rectangle}} + A_{\text{circles}}\).
- However, we originally lack the width of the rectangle, so we cannot calculate \(A_{\text{rectangle}}\) precisely. To find possible given responses, we need to check the provided options against what we've calculated so far:
Calculating the area including the height of the rectangle \( 18 , \text{yards} \) and the area \( 353.25 , \text{yards}^2 \):
We can infer from the response options, the total which might involve some rectangle width or specific common calculation:
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If just looking with rectangle area conservatively is assumed like this,
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If width is simply set, it seems
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Assume width can form reasonable guesses based on response, guessing width should lead to any result as allowed around overlaps of circles.
Without additional data or conflicting information, we could speculate the rectangle with width adding about those expected given options.
Ultimately, the calculated circle area indicates with:
The closest estimated calculated provided matching common choices leading could be 1,201.05 (focusing mainly on rectangle width + both Euler's rounds).
Thus, we conclude the answer from the options seems most consistent matched could likely point still:
1,201.05 yards squared.