Question

The lengths of the four sides of a quadrilateral (in inches) are consecutive odd integers. If the perimeter is 120120 inches, find the value of the longest of the four side lengths.

Answer 1

Let the sides be n, n+2, n+4, n+6. Their sum is 4n + 12 = 120120, so 4n = 120108 and n = 30027. The longest side is n+6 = 30033 inches.