A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd of rope and floats. What dimensions of the rectangle will maximize the area? What is the maximum area? (Note that the shoreline is one side of the rectangle.)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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The length of the shorter side of the rectangular region is 

The length of the longer side of the rectangle region is 

A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd of rope and floats. What dimensions of
the rectangle will maximize the area? What is the maximum area? (Note that the shoreline is one side of the rectangle.)
Transcribed Image Text:A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd of rope and floats. What dimensions of the rectangle will maximize the area? What is the maximum area? (Note that the shoreline is one side of the rectangle.)
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