Styles of art and architecture that were inspired by the greeks and romans are referred to as

Classicism

Explanation:

Classicism was a cultural movement that was part of the European Renaissance during the 15th and 16th centuries. As its name implies, the proposal of Classicism was a return to the forms and themes of Classical Antiquity, ie ancient Greece and Rome.

The cultural horizon of the Renaissance was Classical Antiquity. Ancient Greece is considered the cradle of Western thought (having directly influenced Roman culture), so the return to classical forms was the aesthetic purpose of the Renaissance. Classicism has its genesis in Italy, at the end of the thirteenth century, with the emergence of humanist thinking.

The style of art and architecture that is inspired by the classical period - i. e. the Greeks and the Romans - is known as neoclassicism.