How many squares are there on a chess board?
P.S. No, the answer is not 64
Explanation:
Of course, as you might think, aren’t there only 8 x 8 = 64 squares on a chess board? Well, no. All these 64 squares are squares of 1 block. However, one can notice that there are squares of 4 blocks too i.e., 7 x 7 = 49. Likewise, until the largest square which is the chess board itself.
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1, 8×8 square
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4, 7×7 squares
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9, 6×6 squares
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16, 5×5 squares
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25, 4×4 squares
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36, 3×3 squares
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49, 2×2 squares
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64, 1×1 squares
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Thus, totally, there are 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204 squares on a chess board.