Final answer:
The perimeter of the shape is 9x + 59.
Step-by-step explanation:
The shape described in the question consists of several segments with different lengths, represented by the variables and constants given (4x, 1, 2x, and 57). To find the perimeter of the shape, you need to add up the lengths of all its sides.
In this case, the perimeter can be expressed as: 4x + 1 + 2x + 2x + 1 + x + 57.
Simplifying, we get: 9x + 59.