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## Answers

64 1×1 squares

49 2×2 squares

36 3×3 squares

25 4×4 squares

16 5×5 squares

9 6×6 squares

4 7×7 squares

1 8×8 square

Total: 204 squares.

**In order to find the total number of squares in a chessboard, we need to add up all the possible squares that can be formed by different units. Number of squares with sides :**

**a) 8x8 = 1 (As the chessboard is itself a big square)**

**b) 7x7 = 4**

**c) 6x6 = 9**

**d) 5x5 = 16**

**e) 4x4 = 25**

**f) 3x3 = 36**

**g) 2x2 = 49**

**h) 1x1 = 64**

**Therefore total number of squares in a chessboard = 1+4+9+16+25+36+49+64**

**= 204**

**Hope that helps !!**