Final answer:
To solve the word problem, find the consecutive numbers that represent the sides of the quadrilateral, set the sum of the side lengths equal to the perimeter, and solve for the unknown side length.
Step-by-step explanation:
To solve the word problem, we need to find the consecutive numbers that represent the sides of the quadrilateral. Let's assume the first side length is x. The other three sides can then be represented as (x+1), (x+2), and (x+3) since they are consecutive numbers.
Given that the perimeter is 160, we can add up the four side lengths and set it equal to 160:
x + (x+1) + (x+2) + (x+3) = 160
By simplifying and solving this equation, we find that each side of the quadrilateral is 39.