smallest perimiter rectangle with given integer area and integer sides

Posted by remuladgryta on Stack Overflow See other posts from Stack Overflow or by remuladgryta
Published on 2012-06-02T09:35:57Z Indexed on 2012/06/02 10:40 UTC
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geometry

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integer

Given an integer area A, how can one find integer sides w and h of a rectangle such that w*h = A and w+h is as small as possible? I'd rather the algorithm be simple than efficient (although within reasonable efficiency).

What would be the best way to accomplish this?

Finding out the prime factors of A, then combining them in some way that tries to balance w and h? Finding the two squares with integer sides with areas closest to A and then somehow interpolating between them? Any other method i'm not thinking of?

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