rural area vs geographic area

rural area and geographic area both are nouns.

Word	Noun	Adjective	Verb	Adverb
rural area	Yes	No	No	No
geographic area	Yes	No	No	No

As nouns, geographic area is a hypernym of rural area; that is, geographic area is a word with a broader meaning than rural area:

Other hypernyms of rural area include geographic region, geographical area, geographical region.

rural area (noun)	geographic area (noun)
an area outside of cities and towns	a demarcated area of the Earth