Donna has 280 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length (in meters) of the field is x. a. Find a function that gives the area A(x) of the field (in sq meters) in terms of x. b. What side length x gives the maximum area that the field can have? c. What is the maximum area that the field can have?

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Donna has 280 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length (in meters) of the field is x.

a. Find a function that gives the area A(x) of the field (in sq meters) in terms of x.

b. What side length x gives the maximum area that the field can have?

c. What is the maximum area that the field can have?

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