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Math Help - Rectangle question

  1. #1
    Senior Member
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    Rectangle question

    Consider a rectangle units long, and units wide and the unit squares found in it. A diagonal is drawn from one corner to the opposite. The diagonal cuts through certain unit squares. Find in terms of and the number of unit squares that are cut through.
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  2. #2
    Super Member malaygoel's Avatar
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    Case1:
    If l and w don't have a common factor, then the number of squares cut=l+w-1

    Case 2:
    If l and w have a common factor, let gcd be m
    then no. of squares cut=l + w -m
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