A point inside a square is connected to its four vertices, as shown.
What fraction of the square is shaded blue?
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If we draw two perpendicular lines through the point parallel to the sides of the square, we find that both the shaded and non-shaded regions have the same area of a + b + c + d . Since the area of the square is 2 ( a + b + c + d ) , the area of the shaded region is 2 1 that of the square.