According to the map, persia was located in the modern-day country of

Persia was located in the modern-day country of Iran.

Explanation:

The name Persia was used in modern times as a synonym to the nation of Iran, while in ancient times it covered a much larger territory in which different empires followed one another with important cultures.

This name derives from the ancient Greek name of Iran, Persis, which in turn derives from the name of the main clan of Cyrus the Great, Pars or Parsa, which also gave its name to a province of southern Iran, Fārs ( in the modern Persian language). According to the historian of ancient Greece Herodotus the name Persia derives from Perseus, the mythological hero.