The Rihla is a renowned travelogue that was written by Ibn Battuta. It is important to note that the Rihla was written in Arabic, as mentioned in option 1. Ibn Battuta, a Muslim traveler, chronicled his extensive journeys in the 14th century. He embarked upon these travels at a young age and visited various parts of the Muslim world, including Africa, the Middle East, and Asia.

Option 2 states that the Rihla was written in Persian in the 15th century by Abdur Razzaq. However, this is incorrect, as Ibn Battuta himself is the author of the Rihla.

Option 3 asserts that the Rihla was written in Persian in the 13th century by Ibn Battuta. This is incorrect as well since the Rihla was written in Arabic and not in Persian.

Option 4 states that the Rihla was written in Italian in the 13th century by Marco Polo. Again, this is incorrect as Ibn Battuta, not Marco Polo, is the author of the Rihla.

Therefore, option 1 is the correct answer, stating that the Rihla was written in Arabic in the 14th century by Ibn Battuta.