Final answer:
Wernicke's area is the part of the brain that develops with age and is responsible for understanding the meaning of words. Damage to this area can lead to receptive aphasia, which affects language comprehension.
Step-by-step explanation:
The territory that develops with age and allows people to understand the meaning of particular words is Wernicke's area. This region of the cerebral cortex is associated with the comprehension of language. While Broca's area is tied to the production of speech and may result in expressive aphasia when compromised, Wernicke's area is crucial for speech comprehension, and when damaged, can lead to receptive aphasia, where an individual can produce speech but cannot understand the spoken language, whether it is from others or even themselves. This contrasts with damage to the Broca's area, which causes difficulty in producing language, and not necessarily in understanding it.