A farmer has a field bordering a straight river he wants to


(a) A farmer has a field bordering a straight river. He wants to design a rectangular plot for an organic crop with the river acting as a natural border. If 400 feet of fencing will be used on the three other sides, what should the dimensions of the plot be if its area is to be maximized?

(b) What are the dimensions if the river side is also to be fenced?

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Mathematics: A farmer has a field bordering a straight river he wants to
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