campsite vs camping area

campsite and camping area both are nouns.

Word	Noun	Adjective	Verb	Adverb
campsite	Yes	No	No	No
camping area	Yes	No	No	No

As nouns, campsite and camping area are synonyms defined as:

campsite and camping area: a site where people on holiday can pitch a tent

Other synonyms of campsite include bivouac, campground, camping ground, camping site, encampment.

campsite (noun)	camping area (noun)
a site where people on holiday can pitch a tent	a site where people on holiday can pitch a tent