Show illustration and give detailed solutions.   Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two sides are shortened in such a way that the figure remains a rectangle with a constant area of 5000 sq mm. What is the rate of change of the perimeter P when the length of the increasing side is 50 mm.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....
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Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two sides are shortened in such a way that the figure remains a rectangle with a constant area of 5000 sq mm. What is the rate of change of the perimeter P when the length of the increasing side is 50 mm.

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