B My combination theorem : square

AI Thread Summary
The discussion revolves around a high school student's inquiry about the number of squares in a rectangle subdivided into unit squares. The student presents a theorem related to this question and seeks feedback from the community. Responses indicate that while the result is correct, it may not warrant the label of "theorem" without further justification. Participants encourage the student and express appreciation for the mathematical exploration. Overall, the conversation highlights the importance of clarity and justification in mathematical claims.
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".
 
Thank you very much :)
 
May be you need to justify the result.
+ welcome to PF!
 
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