Rachel has 280 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing As shown below, one of the sides has length x (in meters). Side along river (a) Find a function that gives the area A (x) of the field (in square meters) in terms of x. A (2) = 0 (b) What side length x gives the maximum area that the field can have? Side length x meters (c) What is the maximum area that the field can have? Maximum area: square meters

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