My combination theorem : square

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fatay
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Hi i am fatih from turkey.i am high school student.question is "how many squares are in an rectangle subdivided into unit squares?"(a<=b)

My theorem about this question.Please write your comments.Thanks For your time, thanks all mathematicians !:)
 

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Correct, but as you can see it is possible to derive it in under 5 minutes. I'm not in high school any more - so don't let that discourage you! It is a nice result, I just would not call it "theorem".
 
May be you need to justify the result.
+ welcome to PF!