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How big is 31,700 square miles?

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It's about as big as Lake Superior.
(a.k.a. Lac Supérieur, a.k.a. Gitchigumi, a.k.a. Gitche Gumee) (surface area)
Both the largest of North America's Great Lakes and the largest freshwater lake in the world (by surface area), Lake Superior has a total area of 31,700 square miles. It borders the cities of Duluth, Minnesota and Thunder Bay, Ontario, Canada
It's about as big as South Carolina.
In other words, the size of South Carolina is 1.010101 times 31,700 square miles.
(United States)
The "Palmetto State," South Carolina measures 32,020.20 square miles in total area. South Carolina's border with Georgia is almost entirely marked by the Savannah River, which stretches for 560 km (350 mi) along South Carolina's southeastern boundary.
It's about nine-tenths as big as Maine.
In other words, 31,700 square miles is 0.89586870 times the size of Maine, and the size of Maine is 1.1162350 times that amount.
(United States)
The "Pine Tree State," Maine measures 35,384.650 square miles in total area. Machias Seal Island, about 0.03088817 square miles of Maine's area, continues to be a source of dispute between the United States and Canada, with each country claiming sovereignty over the small, treeless island.
It's about nine-tenths as big as Indiana.
In other words, 31,700 square miles is 0.87045510 times the size of Indiana, and the size of Indiana is 1.1488240 times that amount.
(United States)
The "Hoosier State," Indiana measures 36,417.730 square miles in total area. The state is bisected north-south by the Wabash River, one of the longest rivers in the United States at 661 km (411 mi).
It's about four-fifths as big as Kentucky.
In other words, 31,700 square miles is 0.78447820 times the size of Kentucky, and the size of Kentucky is 1.2747330 times that amount.
(formally the Commonwealth of Kentucky) (United States)
The "Bluegrass State," Kentucky measures 40,409.03 square miles in total area. The Kentucky Bend, a 17.556070 square miles piece of land, is a non-contiguous enclave to the west of Kentucky proper, surrounded by Missouri and Tennessee, and the only such non-contiguous state area in the United States.
It's about one-and-three-tenths times as big as West Virginia.
In other words, 31,700 square miles is 1.3083080 times the size of West Virginia, and the size of West Virginia is 0.7643460 times that amount.
(United States)
The "Mountain State," West Virginia measures 24,229.760 square miles in total area. Located entirely within the Appalachian Mountains, West Virginia has an average elevation of 460 m (1,500 ft) above sea level - the highest elevation of any state east of the Mississippi.
It's about three-fourths as big as Tennessee.
In other words, 31,700 square miles is 0.75219580 times the size of Tennessee, and the size of Tennessee is 1.3294410 times that amount.
(United States)
The "Volunteer State," Tennessee measures 42,143.280 square miles in total area. Much of the 10,648.70 square miles of land in the West Tennessee Grand Division (Tennessee being divided into three "Grand Divisions") was ceded to the United States by the Chickasaw Nation in 1818.