Final answer:
The quote is spoken by Enobarbus about Cleopatra in Shakespeare's play 'Antony and Cleopatra', signifying her enduring beauty and charm.
Step-by-step explanation:
The quote “Age cannot wither her, nor custom stale / Her infinite variety” is spoken by Enobarbus about Cleopatra in William Shakespeare's play “Antony and Cleopatra.” It speaks to Cleopatra's timeless beauty and captivating personality, which never become dull or tiresome. This reflects the real accounts of her life, where Cleopatra was known for her remarkable political prowess, intelligence, and ability to exert influence. She played a significant role in the history of the Roman Republic by forming liaisons with leaders like Julius Caesar and later Mark Antony, which eventually led to a tragic end for both Antony and herself. Their story has become emblematic of powerful, yet ultimately doomed, love, and it figures prominently in discussions of both Roman history and Shakespearean drama.