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Help needed! Solve for side lengths; Minimize perimeter with known area problem

tsullivan-2
1-Visitor

Help needed! Solve for side lengths; Minimize perimeter with known area problem

I'm sorry but this is so basic... but how do you set up a sheet and solver block for this?  Perimeter = 2x + 2y    area = x*y.  What are the shortest lengths, x and y, so we can have a plot of 1000?  Thanks to all.  I know using "minimize" is key...

3 REPLIES 3

The solution is sqrt(1000).= 31.623

And with the minimize function:

ap.png

StuartBruff
23-Emerald III
(To:tsullivan-2)

Tyler Sullivan wrote:

I'm sorry but this is so basic... but how do you set up a sheet and solver block for this?  Perimeter = 2x + 2y    area = x*y.  What are the shortest lengths, x and y, so we can have a plot of 1000?  Thanks to all.  I know using "minimize" is key...

And in case you're using Prime instead of proper Mathcad, here's the Prime 3.1 solution (with Valery's solution alongside):

It's interesting that Prime shows 31.623 but M15 doesn't (I checked in my M15 M040)....

Stuart

Werner_E
25-Diamond I
(To:StuartBruff)

Looks like a bug in MC15. Same here with MC15 M030. And it has nothing to do with the units.

Solution is too far away from the square root and when CTOL is set smaller, an error is thrown (and it cannot be traced back to "no solution found"). Strange!

Have not tried but from what I saw above I guess Prime will get the correct 10,10 solution.

WE

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