Final answer:
The areas of Europe that came under Muslim control in the 1200s were the Iberian Peninsula and Sicily. The Islamic influence thrived in these regions for several centuries, with interactions between Muslims, Christians, and Jews.
Step-by-step explanation:
The areas of Europe that came under Muslim control in the 1200s were the Iberian Peninsula (A) and Sicily, which is part of modern-day Italy (B). The Islamic influence thrived in these regions for several centuries, with the Moors occupying Spain for 700 years and Sicily being conquered during the Abbasid period. During this time, there were interactions between Muslims, Christians, and Jews, and the transfer of knowledge and ideas occurred through these cultural exchanges.