Step 1 :Let $L$ represent the total length of the road (in miles), and let $D$ represent the number of days the crew has worked. Since the crew is adding 2 miles to the road each day, we can say that the total length of the road is equal to the initial length of the road plus 2 times the number of days the crew has worked. This can be written as $L = 57 + 2D$.
Step 2 :To find the total length of the road after the crew has worked 36 days, we can substitute $D = 36$ into the equation.
Step 3 :Substituting $D = 36$ into the equation gives $L = 57 + 2 \times 36$
Step 4 :Solving the equation gives $L = 129$
Step 5 :The total length of the road after the crew has worked 36 days is \(\boxed{129}\) miles.