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. A (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

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 64PFA
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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.
8
(a) Find a function that gives the area A (x) of the field (in square meters) in
terms of x.
A (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. 8 (a) Find a function that gives the area A (x) of the field (in square meters) in terms of x. A (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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