Answer:
The Normans continued to control the area after William's death.
Step-by-step explanation:
The battles fought throughout England and Normandy particularly the Battle of Hastings in which the King of Normandy defeated Harold Godwinson in 1066. This led to Normans continued to control the area after William's death.
While William the conqueror ruled over England till his death, it was one of his son that succeeded him, known as William II or William Rufus.
Similarly, following William II's death, it was his younger brother Henry I that took the reign, the Stephen of Blois, the Henry I and it goes on like that with Normans continued to control the area.