SOLUTION: A standard checkerboard has 64 squares alternating black and red on a 8 by 8 grid. How many of the 1296 rectangles on a checkerboard contain more than one red square?

Question 1167162: A standard checkerboard has 64 squares alternating black and red on a 8 by 8 grid. How many of the 1296 rectangles on a checkerboard contain more than one red square?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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ANSWER.  1296 - 64 = 1232 rectangles on a checkboards contain more than one red square.



JUSTIFICATION.  32 red squares are ONLY rectangles on a chessboard that contain only one red square.


32 black squares are ONLY rectangles on a chessboard that do not contain red squares, at all.


The rest of rectangles contain MORE than one red square.

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