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?

Question

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

Answer 1

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