A strip of land is not an exact area and depends heavily on the context to define its size for example take the sentence "they fought over a tiny strip of land".
If i change the context "tiny strip of land" can be as large as a country (a small country but still) E.g. "Israel and the Palestinians have been fighting over a tiny strip of land."
in this sentence all of Israel is a "tiny strip of land".
or if i change the context to "During WWI soldiers fought over a tiny strip of land known as no mans land"
the context makes "a tiny strip of land" become the area between the trenches.
however a "strip" of land is always relatively long and thin, but the overall area can change drastically