Question: A farmer wishes to enclose a rectangular region bordering a river with fencing, as shown in the diagram. Suppose that x represents the length of

A farmer wishes to enclose a rectangular region bordering a river with fencing, as shown in the diagram. Suppose that x represents the length of each of the three parallel pieces of fencing. She has 600 ft of fencing available.

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(a) What is the length of the remaining piece of fencing in terms of x?

(b) Determine a function A that represents the total area of the enclosed region. Give any restrictions on x.

(d) What is the maximum area that can be enclosed?

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