Question

The lengths of the four sides of a quadrilateral (in meters) are consecutive odd integers. If the perimeter is 40 meters, find the value of the longest of the four side lengths.

Answer 1

Let the sides be n, n+2, n+4, n+6 (consecutive odd integers). Their sum is
4n + 12 = 40,
so 4n = 28 and n = 7. The longest side is n+6 = 13 meters.