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) = 0 (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? 09 X S ?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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Lena has 280 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 4 (x) of the field (in square meters) in
terms of x.
4(x) = 0
(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?
0²
X
S ?
Transcribed Image Text:Lena has 280 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 4 (x) of the field (in square meters) in terms of x. 4(x) = 0 (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? 0² X S ?
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
(c) What is the maximum area that the field can have?
Maximum area: square meters
X
2.
Transcribed Image Text: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 (c) What is the maximum area that the field can have? Maximum area: square meters X 2.
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