Re: Optimizing Rectangle for Perimeter
- From: Paul Sperry <plsperry@xxxxxxxxx>
- Date: Wed, 31 May 2006 05:36:56 GMT
In article <1149048069.618435.298050@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Protoman <Protoman2050@xxxxxxxxx> wrote:
As seen in my previous posts, I know how to optimize a rectangle for
area, but how do I do so for perimeter. Here's my try:
A=xy=100
P=2x+2y
y=100/x
P=2x+200/x
P'=2-200/x^2=0
-200/x^2=-2
-2x^2=-200
x^2=100
x=10
10y=100
y=10
x=10 units
y=10 units
Min P=40 units
Is this correct? Thanks!!!!!
Looks OK to me. As an exercise, you might show that you in fact have an
absolute minimum.
--
Paul Sperry
Columbia, SC (USA)
.
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