A college is planning to construct a rectangular parking lot on land bordered on one side by a highway. It has 400 feet of fencing that is to be used to fence off the other three sides. What should be the dimensions of the lot if the enclosed area is to be a​ maximum? What is the maximum​ area?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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A college is planning to construct a rectangular parking lot on land bordered on one side by a highway. It has
400
feet of fencing that is to be used to fence off the other three sides. What should be the dimensions of the lot if the enclosed area is to be a​ maximum? What is the maximum​ area?
 
A rectangular parking lot has a width labeled x and a length labeled with a question mark.xx?
 
 
 
Let the longer side be the length and the shorter side the width.
The width of the parking lot is
nothing
feet. The length is
nothing
feet.
The maximum area is
nothing
 
ft.ft.
ft cubed .ft3.
ft squared .
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