Keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing. As shown below, one of the sides has length x (in meters). (a) Find a function that gives the area A (x) of the field (in square meters) in terms of x. (b) Side along river = side length x gives the maximum area that the field can have? Side length x meters (c) What is the maximum area that the field can have? Maximum area: square meters 4 3 ?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing.
As shown below, one of the sides has length x (in meters).
8
Side along river
(a) Find a function that gives the area A (x) of the field (in square meters) in
terms of x.
(b) What side length x gives the maximum area that the field can have?
Side length x meters
Continue
(c) What is the maximum area that the field can have?
Maximum area: square meters
님
X
S
C.
Submi
Transcribed Image Text:Keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing. As shown below, one of the sides has length x (in meters). 8 Side along river (a) Find a function that gives the area A (x) of the field (in square meters) in terms of x. (b) What side length x gives the maximum area that the field can have? Side length x meters Continue (c) What is the maximum area that the field can have? Maximum area: square meters 님 X S C. Submi
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