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The circular base of an above-ground swimming pool lies in a level yard and just touches two straight sides of a fence

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The circular base of an above-ground swimming pool lies in a level yard and just touches two straight sides of a fence

by Vincen » Fri Aug 06, 2021 7:18 am

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The circular base of an above-ground swimming pool lies in a level yard and just touches two straight sides of a fence at points \(A\) and \(B,\) as shown in the figure above. Point \(C\) is on the ground where the two sides of the fence meet. How far from the center of the pool's base is point \(A?\)

(1) The base has an area of \(250\) square feet.
(2) The center of the base is \(20\) feet from point \(C.\)

Answer: A

Source: GMAT Paper Tests
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