Remove the central "square" from a skewed 5-by-5 chessboard. True or False: The white area equals the black area?

By a skewed chessboard we mean: Take any convex quadrilateral and divide each side into 5 equal-length pieces; connect corresponding points on opposite sides and color them in the usual alternating way.

The white area equals the black area. So, the assertion is true.

Posted by K Sengupta on 2022-05-18 23:10:29