A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a side length (in meters) of the playground is x, as shown below. |(a) Find a function that gives the area A (x) of the playground (in square meters) in terms of x. a (4) = 0 (b) What side length x gives the maximum area that the playground can have? Side length x : meters (c) What is the maximum area that the playground can have? Maximum area:| square meters
A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a side length (in meters) of the playground is x, as shown below. |(a) Find a function that gives the area A (x) of the playground (in square meters) in terms of x. a (4) = 0 (b) What side length x gives the maximum area that the playground can have? Side length x : meters (c) What is the maximum area that the playground 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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Question
![O POLYNOMIAL AND RATIONAL FUNCTIONS
Word problem involving optimizing area by using a quadratic...
A school wishes to enclose its rectangular playground using 160 meters of fencing.
Suppose that a side length (in meters) of the playground is x, as shown below.
(a) Find a function that gives the area A (x) of the playground (in square meters) in
terms of x.
A (4) = 0
(b) What side length x gives the maximum area that the playground can have?
Side length x :
meters
(c) What is the maximum area that the playground can have?
Maximum area: square meters
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7775b538-f3ac-41af-91be-8d1b0f1ae514%2Fd78f149d-40c8-417c-b482-332e9a834784%2Fs1zgam_processed.png&w=3840&q=75)
Transcribed Image Text:O POLYNOMIAL AND RATIONAL FUNCTIONS
Word problem involving optimizing area by using a quadratic...
A school wishes to enclose its rectangular playground using 160 meters of fencing.
Suppose that a side length (in meters) of the playground is x, as shown below.
(a) Find a function that gives the area A (x) of the playground (in square meters) in
terms of x.
A (4) = 0
(b) What side length x gives the maximum area that the playground can have?
Side length x :
meters
(c) What is the maximum area that the playground can have?
Maximum area: square meters
II
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