Manhattan (NYC borough) is 20% larger than Providence, Rhode Island.
Area: 59 km2 calculated
Manhattan is the most densely populated of the five boroughs of New York City. The borough is coterminous with New York County, an original county of the U.S. state of New York. Wikipedia
Area: 49 km2 calculated
Providence is the capital and most populous city in Rhode Island. Founded in 1636, it is one of the oldest cities in the United States. It is located in Providence County, and is the third-largest city in the New England region after Boston and Worcester. Wikipedia