Answer: 8 inches
Explanation:
A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.
We then equate the side to the perimeter. This will be:
a + a+2 + a+4 + a+6 = 20
4a + 12 = 20
4a = 20 - 12
4a = 8
a = 8/4
a = 2 inches
The length of the longest side will be:
= a + 6
= 2 + 6
= 8 inches