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
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
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c11e15f-f3a6-45a0-af44-d2df65b93005%2F3c33179c-ead9-4a8e-b177-5f1a412cc477%2Fmr7uerc_processed.png&w=3840&q=75)
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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