SOLUTION: How many squares of all sizes can you find on a 6 by 6 checkerboard? their are 36 smaller squares in this 6 by 6 checkerboard.

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Question 333267: How many squares of all sizes can you find on a 6 by 6 checkerboard? their are 36 smaller squares in this 6 by 6 checkerboard.
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
How many squares of all sizes can you find on a 6 by 6 checkerboard? their are 36 smaller squares in this 6 by 6 checkerboard.



There are 36 1x1 squares.
There are 25 2x2 squares.
There are 16 3x3 squares.
There are  9 4x4 squares.
There are  4 5x5 squares.
There is   1 6x6 squares. 

That's a total of 36+25+16+9+4+1=91 squares.

It's interesting that those numbers are the perfect squares

1%5E2, 2%5E2, 3%5E2, 4%5E2, 5%5E2, 6%5E2

Edwin