South Dakota is around the same size as Idaho.

Idaho is approximately 214,314 sq km, while South Dakota is approximately 196,540 sq km, making South Dakota 91.71% the size of Idaho. Meanwhile, the population of Idaho is ~1.6 million people (753,402 fewer people live in South Dakota).
Tip: This to-scale comparison of Idaho vs. South Dakota uses the Mercator projection, which distorts the size of regions near the poles.