rest area vs pull-off

rest area and pull-off both are nouns.

Word	Noun	Adjective	Verb	Adverb
rest area	Yes	No	No	No
pull-off	Yes	No	No	No

As nouns, rest area and pull-off are synonyms defined as:

rest area and pull-off: designated paved area beside a main road where cars can stop temporarily

Other synonyms of rest area include lay-by, layby, rest stop.

rest area (noun)	pull-off (noun)
designated paved area beside a main road where cars can stop temporarily	designated paved area beside a main road where cars can stop temporarily