The actual area of the lake is 162 square miles if the map that was created using a scale of 1 inch : 3 miles.
What is a scale factor?
The ratio among comparable dimensions of an object and a model with that object, is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
We have:
A map that was created using a scale of 1 inch : 3 miles
1 inch = 3 miles
1 square inch = 9 square miles
The area of the lake = 18 square inches
The actual area of the lake = 18×9 = 162 square miles
Thus, the actual area of the lake is 162 square miles if the map that was created uses a scale of 1 inch : 3 miles.
Learn more about the scale factor here:
brainly.com/question/22312172
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