District of Columbia is about 7,261 times smaller than Peru.

Peru is approximately 1,285,216 sq km, while District of Columbia is approximately 177 sq km, making District of Columbia 0.01% the size of Peru. Meanwhile, the population of Peru is ~32.3 million people (31.7 million fewer people live in District of Columbia).
Tip: This to-scale comparison of Peru vs. District of Columbia uses the Mercator projection, which distorts the size of regions near the poles.