Peru dwarfs United States: about 1,296,279 km² km² against 9,439,424 km² km². At true size Peru is about 7.3× larger — the whole of United States fits into Peru roughly 7 times.
Peru sits in South America, United States in North America. On the old Mercator map the latitude gap distorted how large each felt beside the other; at true size the answer is simply 7.3×.
The old map muddied it further: Mercator inflates Peru about 1× and United States about 2×, so on a Mercator-style map this pair appears 14× apart instead of the true 7.3×.
Peru fits 7× into United States.