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max of (16-p)/(p^2+2p), S,p area, perimeter, fixed s (HOMC 2013 Q10)

Source:

August 1, 2019

geometryperimetermaximumarea

Problem Statement

Consider the set of all rectangles with a given area

S

. Find the largest value o

M = \frac{16-p}{p^2+2p}

where

p

is the perimeter of the rectangle.