A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The playground borders the school building, so the fourth side does 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 4 (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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
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A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The playground borders the school building, so the fourth side does
not need fencing.
As shown below, one of the sides has length x (in meters).
Side along school building
X
(a) Find a function that gives the area 4 (x) of the playground (in square meters) in
terms of x.
A (x) = 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
4
Transcribed Image Text:A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The playground borders the school building, so the fourth side does not need fencing. As shown below, one of the sides has length x (in meters). Side along school building X (a) Find a function that gives the area 4 (x) of the playground (in square meters) in terms of x. A (x) = 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 4
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