A school wishes to enclose its rectangular playground using 320 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 4 (x) of the playground (in square meters) in terms of x. A (2) = 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: I square meters

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.3: Applications Of Systems Of Linear Equations
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O POLYNOMIAL AND RATIONAL FUNCTIONS
Word problem involving optimizing area by using a quadratic.
A school wishes to enclose its rectangular playground using 320 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 (2) = 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
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 320 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 (2) = 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
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