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Sally is making a relief map of Indiana. Her map is 6 inches wide and 11.5 inches long. If Indiana is 140 miles wide, what is the approximate length in miles?

A. 11 miles
B. 21 miles
C. 57.5 miles
D. 97 miles

Answer :

Final Answer:

The approximate length of Indiana on Sally's relief map is c) 57.5 miles.

Explanation:

Sally's relief map is a scaled representation of Indiana, where the 6 inches width and 11.5 inches length correspond to the actual dimensions of the state. To find the length in miles, we can use the scale factor. Given that the map is 6 inches wide, and the actual width of Indiana is 140 miles, the scale factor is 140 miles / 6 inches.

Now, to find the length on the map in miles, we multiply the scale factor by the actual length of the map (11.5 inches):

Scale factor = 140 miles / 6 inches

Length on map (in miles) = Scale factor * Actual length on map

Length on map = (140 miles / 6 inches) [tex]* 11.5 inches[/tex]

Length on map ≈ 57.5 miles

Therefore, the approximate length of Indiana on Sally's relief map is c) 57.5 miles.

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