About 66,000 square miles (exactly, 65,555.556 square miles).
Work Step by Step
This is a base because we are told that 11,800 square miles is 18% of the total area of Florida, and we are asked to find the total area of Florida. If a number is a certain percent of an original number and we want to find the original number, we first divide the percentage by 100 to get a decimal. Then, we divide 1 by the decimal to get a new number. We multiply this number by the original number to get the answer. Thus, we divide 18 by 100 to get .18. We divide 1 by .18 to get 5.5556, and we multiply 5.5556 by 11,800 square miles to get an answer of about 66,000 square miles.