Question 401351
On the 6x6 checkerboard, there is 1 6x6 square, 4 5x5 squares, 9 4x4 squares, ..., 36 1x1 squares. Therefore the number of total squares is


{{{sum(k^2, k = 1, 6) = 6(7)(13)/6 = 91}}} (applying the sum of squares formula)


Likewise, with the 8x8 checkerboard, the total number of squares is


{{{sum(k^2, k = 1, 8) = 8(9)(17)/6 = 204}}}