Idaho is around the same size as South Dakota.

South Dakota is approximately 196,540 sq km, while Idaho is approximately 214,314 sq km, making Idaho 9% larger than South Dakota. Meanwhile, the population of South Dakota is ~814,180 people (753,402 more people live in Idaho).
Tip: This to-scale comparison of South Dakota vs. Idaho uses the Mercator projection, which distorts the size of regions near the poles.