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Verified Answer :

I don't really see the shaded area...

I can give it a try, I did this in about 5 minutes because I have to leave to a friends house real quick but,

You have total area- inner area.

The inner area is the circles , which we denote in terms of area for circles = pix^2/2 + pix^2 + pix^2/2 = 3pix^2.

Now total area of squares = X+X+x+X = 4x.
Now, to get shaded area _> 4x - 3pix^2 = x(4-3pix)