Deandre has 120 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. 시 () = 0 (b) What side length x gives the maximum area that the garden can have? Side length x : meters (c) What is the maximum area that the garden can have? Maximum area: square meters
Deandre has 120 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. 시 () = 0 (b) What side length x gives the maximum area that the garden can have? Side length x : meters (c) What is the maximum area that the garden can have? Maximum area: square meters
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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Transcribed Image Text:Deandre has 120 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,
4 (4) = 0
(b) What side length x gives the maximum area that the garden can have?
Side length x : meters
(c) What is the maximum area that the garden can have?
Maximum area: square meters
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