If the area of the outer square is 100, what is the area of the inner square?

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Click or scroll down to see the solution.

First, rotate the inner square 45 degrees, then divide the outer square into
four equal parts.

The inner square overlaps one-half of each of the
four parts of the outer square.

Therefore the inner square is one-half the
area of the outer square, or 50.

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Revised: December 28, 2007