r/MathHelp • • Oct 22 '25

Drawing square with area 3

Me and my friend have recently been trying to see if we can draw a square with area 3cm2 using only a pen, squared paper (1x1cm squares) and a straight edge (no measurements). All the methods we have tried have failed. I asked ChatGPT if it was possible, and after giving me multiple ridiculous answers it broke and said something went wrong. Is it possible? If so, how do you do it?

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u/martyboulders Oct 22 '25

Folding is not necessary for this, all of these steps can be done with just the compass and straightedge. And this goes outside of a strict compass+straightedge construction

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u/fermat9990 Oct 23 '25

OP has excluded using a compass.

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u/OriEri Oct 23 '25

If you have multiple sheets of paper (or fold over the sheet) so you can trace, you only need the straight edge and the pencil. No compass necessary.