Answered: 2. a) Show that of all rectangles with…

2. a) Show that of all rectangles with a given area, the one with smallest perimeter is a square. b) Show that of all rectangles with a given perimeter, the one with greatest area is a square.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...

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a)
Show that of all rectangles with a given area, the one with smallest perimeter is a square.
b)
Show that of all rectangles with a given perimeter, the one with greatest area is a square.

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