SOLUTION: number patterns, variables, and formulas. How many squares of all sizes can you find on a 6 by 6 checkerboard? there are 36 smaller squares inside this one big square. I have tri

Question 333240: number patterns, variables, and formulas. How many squares of all sizes can you find on a 6 by 6 checkerboard? there are 36 smaller squares inside this one big square. I have tried 4 small squares and inside this big squarre it would equal up to 9 , 4 by 4 squares and 4 3 by 3 squares and 1 6 by 6 square and 36 1 by 1 squares am I on the right track or am i way out of the ball park on this one please help
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

There are 6 times 6 = 36 one unit by one unit squares

There are 5 times 5 = 25 two unit by two unit squares

There are 4 times 4 = 16 three unit by three unit squares

There are 3 times 3 = 9 four unit by four unit squares

There are 2 times 2 = 4 five unit by five unit squares

There is 1 times 1 = 1 six unit by six unit square.

You can either add those up or use the sum of squares formula:

The arithmetic is yours to do.

John

My calculator said it, I believe it, that settles it

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