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Farmer S. Unkist has a fruit grove consisting of lemons, bananas, and watermelons along a straight...

Farmer S. Unkist has a fruit grove consisting of lemons, bananas, and watermelons along a straight moat. To prevent thieves from stealing his fruit while at the same time make sure the fruit do not mix before they are processed, he plans to fence in each fruit plot using identical rectangular enclosures. The side along the moat needs no fence because the moat is infested with man eating crocodiles as shown below. If he has 1200 yards of fence, what should be the dimensions of each enclosure if the total area of the grove is to be maximized?

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