A map of Colorado says that the scale is 1 inch to 20 miles or 1 inch to 1,267,200. Are these two ways of reporting the scale the same? Explain your reasoning.

Question

Mathematics

Suzan

16 February, 11:33

A map of Colorado says that the scale is 1 inch to 20 miles or 1 inch to 1,267,200. Are these two ways of reporting the scale the same? Explain your reasoning.

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Answers (2)

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Pranav Petty · Answer 1

Given that the map reported that the scale is 1 inch to 20 miles.

Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200

Therefore, the scale of 1 inch to 20 miles can also be represented as 1 to 1,267,200

Ashlee Newton · Answer 2

They are the same, only the way of saying it is different. One mile is equal to 63360 inches. Multiply that by twenty and you get 1267200.