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?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section: Chapter Questions
Problem 33P
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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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