Find the dimensions of the rectangle of maximum area that can be constructed with a perimeter of 44cm.


I tried using Google for help, but common methods used were derivatives which I haven't been taught yet. I'm a little lost, so an explanation would be helpful! :)

Guest Aug 10, 2018

It can be shown that the area will be  maximized when each side of the rectangle is equal to the perimeter / 4....in essence the rectangle will be a square


So...each side will  =  44/ 4  =  11 cm


And the maximum area is   11^2  =  121 cm^2



cool cool cool

CPhill  Aug 10, 2018

Here's a way of looking at the problem that doesn't require calculus:



Alan  Aug 10, 2018

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