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Basically the second figure has a gap in between the shapes whose area is 1sq. Hence 65-1=64
Try it on paper, see if your theory survives and if it does not then let's come up with another explanation.
Now since 3/8 does not equal 2/5 there is not a straight line when the pieces are reassembled in the second manner. There is in fact a small gap equalling 1 square.
If you don't believe that, this trick is possible thanks to the fibonacci series 1,1,2,3,5,8,13,21.. and so on. It gets even harder to see when done in a larger format for instance 13 by 13 or 21 by 21.
FUCK YOU Severe, you racist SHIT