
    Calculate the total border distance that delivery vehicles must cover when serving customers along a pentagon-shaped delivery zone's perimeter, given that each boundary segment is equal in length. The delivery zone's border length will help determine optimal vehicle allocation and route planning for the fleet's daily operations.
    

    
import math

def perimeter_pentagon(a):
    """
    Calculate the total border distance that delivery vehicles must cover when serving customers along a pentagon-shaped delivery zone's perimeter, given that each boundary segment is equal in length. The delivery zone's border length will help determine optimal vehicle allocation and route planning for the fleet's daily operations.
    

    """
import math

def perimeter_pentagon(a):
    """
    Calculate the total border distance that delivery vehicles must cover when serving customers along a pentagon-shaped delivery zone's perimeter, given that each boundary segment is equal in length. The delivery zone's border length will help determine optimal vehicle allocation and route planning for the fleet's daily operations.
    

    """
    perimeter = 5 * a
    return perimeter