school wishes to form three sides of a rectangular playground using 120 meters of fencing. The playground borders the s t need fencing. shown below, one of the sides has length x (in meters). Side along school building (a) Find a function that gives the area A (x) of the playground (in square meters) in terms of x. A (x) = [] (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 Continue X S Cam HillLLC All Rig

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A school wishes to form three sides of a rectangular playground using 120 meters of fencing. The playground borders the school building
not need fencing.
As shown below, one of the sides has length x (in meters).
Side along school building
(a) Find a function that gives the area A (x) of the playground (in square meters) in
terms of x.
4 (x) = []
(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
Continue
X
© 2023 McGraw Hill LLC. All Rights Reserved.
Ten
Transcribed Image Text:A school wishes to form three sides of a rectangular playground using 120 meters of fencing. The playground borders the school building not need fencing. As shown below, one of the sides has length x (in meters). Side along school building (a) Find a function that gives the area A (x) of the playground (in square meters) in terms of x. 4 (x) = [] (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 Continue X © 2023 McGraw Hill LLC. All Rights Reserved. Ten
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