Final answer:
Difficulty with language production after a stroke indicates damage to Broca's area, which is responsible for speech production and is located in the frontal lobe, typically on the left hemisphere.
Step-by-step explanation:
Suffering from a stroke and having difficulty with language production are signs of damage to Broca's area. Broca's area is located in the frontal lobe of the brain and is associated with the motor commands necessary for speech production. It's found only in the cerebral hemisphere responsible for language production, which is the left side in about 95% of people. Damage to Broca's area can result in a type of aphasia characterized by difficulty in producing language; individuals may know what they want to say but struggle to communicate it effectively. This differs from damage to another language-related area called Wernicke's area, which is associated with the comprehension of language. When Wernicke's area is damaged, individuals may speak fluently but their words may be nonsensical or unrelated to actual questions or conversations because they have problems understanding language.