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i know 8x8 is 64 but we are looking for the explanation for 204 squares..any help?

2006-09-10 10:31:05 · 5 answers · asked by annelg 1 in Science & Mathematics Mathematics

5 answers

Σ(n=1 to 8)n^2 = 204

Squares of size 1x1 = 8²
Squares of size 2x2 = 7²
Squares of size 3x3 = 6²
...
Squares of size 8x8 = 1²

If you want a visualization to this pattern take a square say 5x5,
look at how many files you can position it horizontally on the board (4) and how many ranks you can position it vertically on the board (4). If you multiply these two numbers it will give you the number of distinct positions for that size square (16).

2006-09-10 10:42:12 · answer #1 · answered by Andy S 6 · 1 0

This Site Might Help You.

RE:
how many squares on a checker board?
i know 8x8 is 64 but we are looking for the explanation for 204 squares..any help?

2015-08-07 19:32:52 · answer #2 · answered by Johny 1 · 0 0

Each 2x2 set of 4 squares makes a new square. Likewise, 3x3 and so on. The largest square is the entire 8x8 board.

2006-09-10 10:37:43 · answer #3 · answered by Anonymous · 0 0

8*8=64

2006-09-10 10:34:49 · answer #4 · answered by Anonymous · 0 0

The number is 64. I have no idea where the number 204 might have come from.

2006-09-10 10:33:33 · answer #5 · answered by Anonymous · 0 0

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