In the problem involving days, a 365−day year is assumed.Construction. A construction comp...

In the problem involving days, a 365−day year is assumed.

Construction. A construction company has 840 feet of chain-link fence that is used to enclose storage areas for equipment and materials at construction sites. The supervisor wants to set up two identical rectangular storage areas sharing a common fence (see the figure).

Assuming that all fencing is used,

(A) Express the total area A(x) enclosed by both pens as a function of x.

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(B) From physical considerations, what is the domain of the function A?

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(C) Graph function A in a rectangular coordinate system.

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(D) Use the graph to discuss the number and approximate locations of values of x that would produce storage areas with a combined area of 25,000 square feet.

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(E) Approximate graphically (to the nearest foot) the values of x that would produce storage areas with a combined area of 25,000 square feet.

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(F) Determine algebraically the dimensions of the storage areas that have the maximum total combined area. What is the maximum area?