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Quadrilateral ABCD has a perimeter of 26 and sides of integer lengths. If AB=m and BC=CD=DA=n, then what is the difference between the greatest and least possible values of n?

A) 7
B) 6
C) 5
D) 4
E) 3

  • math -

    The perimeter is: 3n + m = 26

    So: n = (26-m)/3

    Thus n must be an integer value such that:
    1/3 < n < 25/3

    Find the least and greatest integers in the domain

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