From Republic to peak under Trajan
Rome grew from a city-state into a Mediterranean power during the Republic, absorbing Italy, Carthage's territories after the Punic Wars, Greece, and much of the eastern Mediterranean. Territorial extent peaked under the emperor Trajan around 117 CE, when conquests of Dacia and Mesopotamia pushed the empire to roughly 5 million square kilometers, its largest size.
Contraction and the East-West split
Hadrian, Trajan's successor, withdrew from the costly eastern conquests, and the frontier stabilized for over a century. Pressure on the borders, civil wars, and administrative strain led Diocletian to divide governance, and in 395 CE the empire formally split into Western and Eastern halves. The West fell in 476 CE, while the Eastern Roman (Byzantine) Empire endured from Constantinople until 1453, charting a long contraction rather than a sudden collapse.