Consider an 8 by 8 grid like a chess board with 81 grid points. How many squares can be formed by considering these 81 grid points in such a way that the edge of each square is not parallel to edge of the chess board?
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The answer is not 64 + 49 + 36 .. 4 + 1 = 204. In all of these squares, the edge is parallel to the chess board, and hence must not be counted.
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Answer:
84 If you consider the distance between two points to be 1, you'll have : 49 squares of side SQRT(2) 25 squares of side 2*SQRT(2) 9 squares of side 3*SQRT(2) 1 square of side 4*SQRT(2) This is considering the squares 45° from the edge of the board
Philippe Voidrot at Quora Visit the source
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