Hong 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 X (a) Find a function that gives the area A (x) of the garden (in square meters) in terms of x. 4 (x) = 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 딤

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Chapter2: Functions And Their Graphs
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Hong 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
X
(a) Find a function that gives the area A (x) of the garden (in square meters) in
terms of x.
4(x) = 0
A
(b) What side length x gives the maximum area that the garden can have?
meters
Side length x:
(c) What is the maximum area that the garden can have?
Maximum area: square meters
Transcribed Image Text:Hong 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 X (a) Find a function that gives the area A (x) of the garden (in square meters) in terms of x. 4(x) = 0 A (b) What side length x gives the maximum area that the garden can have? meters Side length x: (c) What is the maximum area that the garden can have? Maximum area: square meters
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