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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:) (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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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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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