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Mathematics 7 Online
OpenStudy (seratul):

How can you find the total number of squares in an n-by-m checkerboard.

OpenStudy (seratul):

@brainzonly

zepdrix (zepdrix):

n x m

OpenStudy (seratul):

That would only work if it is a 1 by n board.

zepdrix (zepdrix):

Oh number of squares woops >.<

OpenStudy (seratul):

For instance, in an 8 by 8, there is a 204 squares. But I don't know how to find the squares in boards with 5 by 8 or 9 by 3.

zepdrix (zepdrix):

Oh I see, you're including all of the larger squares. hmm

OpenStudy (mathmale):

Multiply! 5*8=? 9*3=?

OpenStudy (seratul):

No, but if I multiply, thats only going to give me the 1 by 1 squares. There are still bigger ones @mathmale

zepdrix (zepdrix):

I'm not familiar with this type of problem. How did you find the squares in the 8 by 8? Am I understanding the pattern correctly? You added the first 8 perfect square values?

OpenStudy (mathmale):

Wouldn't an 8 row by 8 column board have 8*8 = 64 squares?

OpenStudy (seratul):

For the 8 by 8, you are supposed to do 8^2 + 7^2 + 6^2 + 5^2 + 4^2 +3^2 + 2^2 + 1^1 = 204

zepdrix (zepdrix):

|dw:1473553501714:dw|The 2x2 has 5 squares in it. Four 1x1 squares, One 2x2 square. We're including the larger shapes :)

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