Rita has 360 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length (in meters) of the field is x, as shown below. X (a) Find a function that gives the area 4 (x) of the field (in square meters) in terms of x. 4(x) = (b) What 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Rita has 360 meters of fencing and wishes to enclose a rectangular field.
Suppose that a side length (in meters) of the field is x, as shown below.
X
(a) Find a function that gives the area 4 (x) of the field (in square meters) in
terms of x.
4(x) =
(b) What 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
Transcribed Image Text:Rita has 360 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length (in meters) of the field is x, as shown below. X (a) Find a function that gives the area 4 (x) of the field (in square meters) in terms of x. 4(x) = (b) What 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
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