
    Calculate the total length needed for installing passenger counting sensors around a pentagon-shaped bus stop waiting area, where each side has equal length. The sensor system must cover the entire perimeter to accurately monitor passenger occupancy and help optimize bus schedules.
    

    
import math

def perimeter_pentagon(a):
    """
    Calculate the total length needed for installing passenger counting sensors around a pentagon-shaped bus stop waiting area, where each side has equal length. The sensor system must cover the entire perimeter to accurately monitor passenger occupancy and help optimize bus schedules.
    

    """
import math

def perimeter_pentagon(a):
    """
    Calculate the total length needed for installing passenger counting sensors around a pentagon-shaped bus stop waiting area, where each side has equal length. The sensor system must cover the entire perimeter to accurately monitor passenger occupancy and help optimize bus schedules.
    

    """
    perimeter = 5 * a
    return perimeter