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Sam has 480 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 x (a) Find a function that gives the area 4 (x) of the garden (in square meters) in terms of x. 4(x) = (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 4

Sam has 480 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 x (a) Find a function that gives the area 4 (x) of the garden (in square meters) in terms of x. 4(x) = (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 4

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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Sam has 480 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 x (a) Find a function that gives the area A (x) of the garden (in square meters) in terms of x. 4(x) = (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 4
Transcribed Image Text:Sam has 480 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 x (a) Find a function that gives the area A (x) of the garden (in square meters) in terms of x. 4(x) = (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 4
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