Who squares?
How many squares are there on a chessboard?
Assume a simple chess board with no margin.
Assume a simple chess board with no margin.
Labels: mathschallenge, SharedPuzzle
posted by Chris at
10:52 AM
Monday, August 31, 2009
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14 Comments:
64 squares
Try again.
42. You didn't say how many altogether, so I'm right.
All of them!
Drake
204, if you count the whole thing as being a square.
ps good question
204
Two winners and three LOLs. (That was mean on one).
I was scraping the bottom of the barrel for that one :)
But how many rectangles are there, not including the 204 squares? ;)
EB, nice one, thanks.
Help EB out ;)
No one knows how many rectangles? or should I post the answer..
Go on then. I hope you remembered to do the rectangles both ways. I might be checking on you :)
I came up with 1092, not including the original 204 squares.
Here's my worksheet. Shows how many of each size of rectangle.
Size Count
1x2 112
1x3 96
1x4 80
1x5 64
1x6 48
1x7 32
1x8 16
2x3 84
2x4 70
2x5 56
2x6 42
2x7 28
2x8 14
3x4 60
3x5 48
3x6 36
3x7 24
3x8 12
4x5 40
4x6 30
4x7 20
4x8 10
5x6 24
5x7 16
5x8 8
6x7 12
6x8 6
7x8 4
Total: 1092
Hi EB, I agree. That took a little patience. I had to draw a chess board to help me. Thanks for the problem.
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