What is the approximate distance between the two cities along the roman road choosing the shortest possible route by roman roads

Romans began building roads in 312 B.C. following their first major conquests. The beginning stretch, the Appian Way, trailed 132 miles southeast out of Rome. Thereafter, roadbuilding kept pace with the empire’s expansion. Eventually, Roman roads wound 53,000 miles around the Mediterranean and northeastern
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Iraq because its lack of policing and government concern