A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?

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Step 1

Let a and b be the sides of a retangular fence.

Step 2

Given that the farmland is bounded by the river on one side, therefore we have to use the wire to the three sides of the fence, that is,

Step 3

Now the area of the ...

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