Nope 64 is wrong answer. Try to think!! Try to use a little logic. Hint: It's all about logical reasoning.
8x8 square 7x7 squares
6x6 squares 5x5 squares
4x4 squares 3x3 squares
2x2 squares 1x1 squares
there are actually 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 squares on a chessboard
Total = 204