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-The Area of an Ellipse Given by the Equation (xh)2a2+(yk)2 b2=1\frac{(\mathrm{x}-\mathrm{h})^{2}}{\mathrm{a}^{2}}+\frac{(\mathrm{y}-\mathrm{k})^{2}}{\mathrm{~b}^{2}}=1

Question 88

Multiple Choice

Solve.
-The area of an ellipse given by the equation (xh) 2a2+(yk) 2 b2=1\frac{(\mathrm{x}-\mathrm{h}) ^{2}}{\mathrm{a}^{2}}+\frac{(\mathrm{y}-\mathrm{k}) ^{2}}{\mathrm{~b}^{2}}=1 is πab\pi \mathrm{ab} . A homeowner is building an elliptical swimming pool that is 28 feet from end to end at its longest point, and 14 feet from side to side at its widest point. Find the area covered by the swimming pool. Round to the nearest tenth of a foot if necessary.


A) 615.8ft2615.8 \mathrm{ft}^{2}
B) 1231.5ft21231.5 \mathrm{ft}^{2}
C) 30,171.8ft230,171.8 \mathrm{ft}^{2}
D) 307.9ft2307.9 \mathrm{ft}^{2}

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