Final answer:
The lengths of the sides of the quadrilateral are 38.5, 39.5, 40.5, and 41.5.
Step-by-step explanation:
In a quadrilateral with consecutive sides, let's assume the lengths of the sides are x, x+1, x+2, and x+3. The perimeter is the sum of all the sides, so:
Perimeter = x + (x+1) + (x+2) + (x+3) = 4x + 6 = 160
Simplifying the equation, we get: 4x = 154. Dividing both sides by 4, we have x = 38.5.
So, the lengths of the sides are: 38.5, 39.5, 40.5, and 41.5.