French Polynesia is about 6 times smaller than New Hampshire.

New Hampshire is approximately 23,227 sq km, while French Polynesia is approximately 4,167 sq km, making French Polynesia 17.94% the size of New Hampshire. Meanwhile, the population of New Hampshire is ~1.3 million people (1.0 million fewer people live in French Polynesia).
Tip: This to-scale comparison of New Hampshire vs. French Polynesia uses the Mercator projection, which distorts the size of regions near the poles.