A school wishes to enclose its rectangular playground using 280 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. 4 (-) - 0 %3D (b) What side length x gives the maximum area that the playground can have? Side length x : 0 meters (c) What is the maximum area that the playground can have? Maximum area: square meters

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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A school wishes to enclose its rectangular playground using 280 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.
1 (6) - 0
(b) What side length x gives the maximum area that the playground can have?
Side length
x : 0 meters
(c) What is the maximum area that the playground can have?
Maximum area:
I square meters
Transcribed Image Text:A school wishes to enclose its rectangular playground using 280 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. 1 (6) - 0 (b) What side length x gives the maximum area that the playground can have? Side length x : 0 meters (c) What is the maximum area that the playground can have? Maximum area: I square meters
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