Bhutan is about 14 times smaller than Yemen.

Yemen is approximately 527,968 sq km, while Bhutan is approximately 38,394 sq km, making Bhutan 7.27% the size of Yemen. Meanwhile, the population of Yemen is ~41.8 million people (41.0 million fewer people live in Bhutan).
Tip: This to-scale comparison of Yemen vs. Bhutan uses the Mercator projection, which distorts the size of regions near the poles.
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