2006-09-17 02:02:13 · 17 answers · asked by griffo 1 in Science & Mathematics ➔ Mathematics
64.
2006-09-17 02:03:53 · answer #1 · answered by elgil 7 · 0⤊ 2⤋
204.
The interesting bit is how to work it out:
The whole board measures 8 x 8 = 64 small squares (ie. of 1 unit). I will write this as: 8 x 8 (1x1)
Then, there are squares that are 7 x 7, 6 x 6, 5 x 5, etc, down to 2 x 2. There are 4 lots of 7 x 7 squares, 9 lots of 6 x 6 squares, and so on. I will write the original question in mathematical terms, the first term is the dimension of the square, the second term is the number of such squares:
8 x 8 (1 x 1 of = 1)
7 x 7 (2 x 2 of = 4)
6 x 6 (3 x 3 of = 9)
5 x 5 (4 x 4 of = 16)
4 x 4 (5 x 5 of = 25)
3 x 3 (6 x 6 of = 36)
2 x 2 (7 x 7 of = 49)
So, we get 204 squares.
2006-09-21 01:49:47 · answer #2 · answered by John L 1 · 0⤊ 0⤋
I make it 204, as John H and nert61 do. And nert61 explained his answer.
Littlepig's answer amused me, as it takes a different slant on the question. However, it is not quite right. The 2x2 squares, 3x3 squares and so on have a different colour pattern. It raises the issue of how many distinguishable squares there are?
There are 2 distinguishable single-size squares, as littlepig says. All the larger squares with even numbers of base squares will have rotational symmetry that makes them identical, so there is one distinguishable 2x2, one 4x4, one 6x6 and one 8x8. But that is not true of squares with an odd number of base squares. All squares with odd sides will have two forms. So by that token there are 12 different distinguishable squares altogether.
Nert61's answer is probably the best, but littlepig takes us to an interesting diversion.
2006-09-17 09:20:06 · answer #3 · answered by Philip N 1 · 0⤊ 0⤋
2. One black and one white. Many squares, but they are only two different squares that make up the chess board.
2006-09-18 03:22:04 · answer #4 · answered by ScottishWalrus 2 · 0⤊ 0⤋
38
2006-09-17 02:10:01 · answer #5 · answered by Anonymous · 0⤊ 0⤋
64
2006-09-17 02:05:25 · answer #6 · answered by himalaya 1 · 0⤊ 2⤋
64.it's a square deal
2006-09-17 02:10:32 · answer #7 · answered by Anonymous · 0⤊ 0⤋
204
2006-09-17 02:05:14 · answer #8 · answered by John H 6 · 1⤊ 0⤋
I think one should also include larger squares made up from the smaller ones. I think that was the intent of the question.
2006-09-17 02:06:32 · answer #9 · answered by z_o_r_r_o 6 · 1⤊ 0⤋
1, 8x8 square
4, 7x7 squares
9, 6x6 squares
16, 5x5 squares
25, 4x4 squares
36, 3x3 squares
49, 2x2 squares
64, 1x1 squares
2006-09-17 02:05:24 · answer #10 · answered by nert 4 · 2⤊ 0⤋
there's 64
2006-09-17 02:04:44 · answer #11 · answered by Anonymous · 0⤊ 2⤋