perimeter vs boundary

perimeter and boundary both are nouns.

Word	Noun	Adjective	Verb	Adverb
perimeter	Yes	No	No	No
boundary	Yes	No	No	No

As nouns, boundary is a hypernym of perimeter; that is, boundary is a word with a broader meaning than perimeter:

Other hypernyms of perimeter include bound, edge.

perimeter (noun)	boundary (noun)
the size of something as given by the distance around it	the greatest possible degree of something
the boundary line or the area immediately inside the boundary	the line or plane indicating the limit or extent of something
a line enclosing a plane areas	a line determining the limits of an area