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Quiz time....try to be the first to answer correctly (problem w/ diagram below)

Mathematics
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Other answers:

|dw:1360466599196:dw| sorry diagram isn't great its squares, circles, and equilateral triangles find ratio of area of shaded triangle to area of outer square good luck
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.
@dumbcow, I know, maybe in the morning, i'm going to sleep.
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.

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