how many squares or a standard checker board? evry possible sqaure (be careful)?

Question

plz its for a school project every square just not the black and white ones

Answer 1

For n = 1, 2, ..., 8, the number of n x n squares is

(8-n+1)^2

because that is the number of black or white squares that can serve as the lower left corner of the n x n square.

Adding these up, you get

64 + 49 + 36 + 25 + 16 + 9 + 4 + 1
= 8(9)(17)/6 = 204.

Answer 2

Thanks for the "be careful!" :o)

There are 64 one-square sized squares.
There are 7*7 or 49 four-square sized squares.
There are 6*6 or 36 nine- sized
There are 5*5 or 25 16- sized
There are 4*4 0r 16 25- sized
There are 3*3 36- sized
There are 2*2 49- sized
There is one 64- sized square

Answer 3

The 8 x 8 checkerboard has 64 alternating light and dark squares. The game is played on the dark squares.