Ivanna has 240 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). Side along river (a) Find a function that gives the area A (x) of the field (in square meters) in terms of x. 4 (x) = x (240 – 2:) (b) What side length x gives the maximum area that the field can have? Side length x : I| meters (c) What is the maximum area that the field can have? Maximum area:|| square meters

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Ivanna has 240 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).
Side along river
(a) Find a function that gives the area A (x) of the field (in square meters) in
terms of x.
4 (x) = x (240 – 2:)
Transcribed Image Text:Ivanna has 240 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). Side along river (a) Find a function that gives the area A (x) of the field (in square meters) in terms of x. 4 (x) = x (240 – 2:)
(b) What side length x gives the maximum area that the field can have?
Side length x :
I| meters
(c) What is the maximum area that the field can have?
Maximum area:|| square meters
Transcribed Image Text:(b) What side length x gives the maximum area that the field can have? Side length x : I| meters (c) What is the maximum area that the field can have? Maximum area:|| square meters
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