Question

The lengths of the sides of a quadrilateral are 4 consecutive even integers. The perimeter of the quadrilateral is 36 inches. What is the length of the longest side?

Answer 1

Length of longest side is 10.5 inches

Explanation:

Let the shortest side of the quadrilateral be x inches

The length of the consecutive sides will be;

x , x + 1 , x + 2 and x + 3 inches

By adding all

together, we get the perimeter of the quadrilateral

so;

x + x + 1 + x + 2 + x + 3 = 36

4x + 6 = 36

4x = 36-6

4x = 30

x = 30/4

x = 7.5 inches

The longest side is x + 3 = 7.5 + 3 = 10.5 inches