Rama was king of Ayodhya. In the second age of mankind (Treta yuga), he re-established a golden age of justice and happiness. The expression "Rama-rajya" (the kingdom of Rama) is still synonymous with peace and prosperity. As a prince Rama was exiled in the forest and led an expedition to Ceylon to rescue his wife Sita, who had been captured by the demon-king Ravana. We are told that the merciful killing of Ravana was the main purpose of this incarnation.
In his traditional iconography, as shown here, he is shown two-armed, one holding a bow and the other an arrow.
Below the main image can be seen the yantra of Rama.
Danielou, Alain. The Myths and Gods of India: Vermont, Inner Traditions International, 1991.