Fort Lauderdale is about 14 times smaller than Rio De Janeiro.

Rio De Janeiro is approximately 1,221 sq km, while Fort Lauderdale (excluding the city's 9.9 sq km of water area) is approximately 90 sq km, making Fort Lauderdale 7.37% the size of Rio De Janeiro.
Tip: This to-scale comparison of Rio De Janeiro vs. Fort Lauderdale uses the Mercator projection, which distorts the size of regions near the poles.