South Dakota is about 8 times bigger than New Hampshire.

New Hampshire is approximately 23,227 sq km, while South Dakota is approximately 196,540 sq km, making South Dakota 746% larger than New Hampshire. Meanwhile, the population of New Hampshire is ~1.3 million people (502,290 fewer people live in South Dakota).
Tip: This to-scale comparison of New Hampshire vs. South Dakota uses the Mercator projection, which distorts the size of regions near the poles.