Question

David has 160 meters of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. As shown below, one of the sides has length x (in meters). Side along house (a) Find a function that gives the area A (x) of the garden (in square meters) in terms of x. (b) What side length x gives the maximum area that the garden can have? Side length meters (c) What is the maximum area that the garden can have? Maximum area: square meters

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