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Benquo comments on Rationality Quotes December 2011 - Less Wrong
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The width. Changing the width makes a bigger change in the area than changing the length does. (By convention, the width is defined as the smaller of the two dimensions of the rectangle.)
Only if you're augmenting/cutting by a fixed length.
If you're using a proportion (e.g. cut either the length or the width in half) then they're equivalent.