Minimizing rectangle perimeters All rectangles with an area of 128 64 have a perimeter given by P(x) = 2x + , where a is the length of one side of the rectangle. Find the absolute minimum value of the perimeter function on the interval (0, ). What are the dimensions of the rectangle with minimum perimeter?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 62E
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Minimizing rectangle perimeters All rectangles with an area of
128
64 have a perimeter given by P(x) = 2x + , where a is the
length of one side of the rectangle. Find the absolute minimum
value of the perimeter function on the interval (0, ). What are
the dimensions of the rectangle with minimum perimeter?
Transcribed Image Text:Minimizing rectangle perimeters All rectangles with an area of 128 64 have a perimeter given by P(x) = 2x + , where a is the length of one side of the rectangle. Find the absolute minimum value of the perimeter function on the interval (0, ). What are the dimensions of the rectangle with minimum perimeter?
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