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How many squares are there in a 5x5 checkerboard?

Question #70659. Asked by sammyxoxo213.
Last updated Sep 28 2016.

Gnomon
Answer has 52 votes
Currently Best Answer
Gnomon
24 year member
1331 replies

Answer has 52 votes.

Currently voted the best answer.
There are 55.

There's 1 square that is 5x5.
There are 4 squares that are 4x4.
There are 9 squares that are 3x3.
There are 16 squares that are 2x2.
There are 25 squares that are 1x1.


Sep 12 2006, 3:06 PM
serpa
Answer has 10 votes
serpa
17 year member
2380 replies

Answer has 10 votes.
How many squares of .5x.5 or .25x.25, etc? Why not 64 squares on a 5x5 checkerboard?

Sep 28 2016, 9:55 AM
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Baloo55th star
Answer has 7 votes
Baloo55th star
22 year member
4545 replies avatar

Answer has 7 votes.
Because if you subdivide the 25 squares that are on the 5x5 board, it will cease to be a 5x5 board. You can only count whole squares, or groups of squares making new squares.

Sep 28 2016, 1:42 PM
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