On a map, 1 inch represents 5 miles. If a certain state is represented on a map by a rectangle 10 inches by 7.2 inches, what is the area of the state in square miles?

Explanation

To find the area of the state in square miles, convert the dimensions from inches to miles using the given scale. The length of the rectangle on the map is 10 inches, which converts to 10 x 5 = 50 miles. The width is 7.2 inches, converting to 7.2 x 5 = 36 miles. The area of the state is determined by multiplying these two dimensions: Area = 50 miles x 36 miles = 1800 mi2.Options A, B, and C result from errors in conversion or calculation. Option A (360 mi2) has an incorrect conversion, Option B (720 mi2) likely involves partial conversion, and Option C (1080 mi2) reflects a miscalculation. Therefore, the correct area is Option D (1800 mi2).