camping area vs campsite

camping area and campsite both are nouns.

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

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

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

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

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