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Waiting...

Cue Jeopardy music.

purple

Well, that's kind a weird. Do we get any length of the original square side or something?

no assume its "x"

The ratio is independent of length.

1/4

@wio, forgot about that, @nincompoop, hmm, seems smaller?

Fair enough, i'm going to go with 1/8.

area of the outer square means the largest square ?

yes

\[\cfrac{\sqrt{3}}{96}\]

^ is it correct ?

nope

Oops might be a calculation mistake, lemme check again.

\[\frac{3\sqrt{3}}{128}\]
^ is it correct now ?

yes. congrats!

Yuppie ... Thanks!

by the way good question Sir!!!

@mathslover can you show me how you did this please.