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## Homework Statement

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

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

## Homework Equations

A

_{s}=x

^{2}

A

_{R}=xy

P

_{s}= 4x

P

_{R}= 2x+2y

## The Attempt at a Solution

I don't know how to do this any help?