Where is Romeo supposed to live now that he has been banished from Verona?

Romeo has been banished from Verona after killing Tybalt in a street brawl. Originally, he was going to be executed, but the prince graciously commutes his sentence to banishment. Romeo, however, is neither grateful nor relieved. To him, banishment is almost as bad as death as it will mean being separated from his beloved Juliet:

Ha, banishment? be merciful, say death;For exile hath more terror in his look,Much more than death; do not say banishment.(Act III Scene III)

Romeo simply cannot conceive of a life outside Verona, a life without Juliet:

There is no world without Verona walls,But purgatory, torture, hell itself.Hence-banished is banish'd from the world,And world's exile is death,—then banishedIs death mis-term'd: calling death banishment,Thou cutt'st my head off with a golden axe,And smil'st upon the stroke that murders me. (Act III Scene III).

But Romeo really has no choice in the matter. Friar Laurence suggests to him that he should hide out in Mantua; he will instruct Romeo's servant to pass messages on to him there. Although it seems like a practical, sensible idea, a cruel twist of fate will ensure that Romeo's banishment will have tragic consequences. A deadly plague breaks out in the city, and so Romeo's servant is unable to pass any messages to him. One such message concerns the death of his beloved Juliet.