One campus of Houston Community College has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 640 ft of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of fencing.

(a) Express the length of the remaining side to be fenced in terms of x.

(b) What are the restrictions on x?

(c) Determine a function  that represents the area of the parking lot in terms of x.

(d) Determine the values of x that will give an area between 30,000 and 40,000 ft².

(e) What dimensions will give a maximum area, and what will this area be?

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