How many different squares can be found on a chess board?

How many different rectangles which are not squares can be found on a chess board?

• Answer:

  Rectangles made up of squares on the chess board come in the 28 "flavors" listed here: 1x2, 2x3, 3x4, 4x5, 5x6, 6x7, 7x8 1x3, 2x4, 3x5, 4x6, 5x7, 6x8 1x4, 2x5, 3x6, 4x7, 5x8 1x5, 2x6, 3x7, 4x8 1x6, 2x7, 3x8 1x7, 2x8 1x8 Need another way to see it? Okay, try this: 1x2, 1x3, 1x4, 1x5, 1x6, 1x7, 1x8 2x3, 2x4, 2x5, 2x6, 2x7, 2x8 3x4, 3x5, 3x6, 3x7, 3x8 4x5, 4x6, 4x7, 4x8 5x6, 5x7, 5x8 6x7, 6x8 7x8