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Squares-Regions-Colors

by Serhiy Grabarchuk Jr

Solution Step 0/0

In the spots where blue squares cover the yellow one, the intersecting regions become green. The total area of the respective color regions are:
Yellow = 38 squares
Blue = 38 squares
Green = 43 squares

It is enough to move only one blue square to a new position so that the total areas of the respective color regions are equal: yellow = blue = green.

Which of the four blue squares should be moved?

Explanations

The 5×5 blue square should be moved and rotated as shown. The total areas of the three color regions become equal: yellow = blue = green = 40.5 squares.

Check 2x2
Check 4x4
Check 5x5
Check 6x6