A triangular park is enclosed on two sides by a fence and on the third side by a straight river ...

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A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of \( \operatorname{same} \) length \( x \). The maximum area enclosed by the park is
(a) \( \sqrt{\frac{x^{3}}{8}} \)
(b) \( \frac{1}{2} x^{2} \)
(c) \( \pi x^{2} \)
(d) \( \frac{3}{2} x^{2} \)
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