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Now it is hard to determine the size of middle earth, but I will be using information from the movie for a rough estimate as of the distance between Edoras and Minas Tirith.

In the movie, Gandolf said it would take 3 days to get there. And Shadowfax is considered the top tier of all horses, so were will be using the top running speed of any horse which is 24.5872 m/s.

So plugging in the information with 3 days = 259200 seconds * 24.5872 m/s = 6373000 meters (roughly)

Here is the image:

Middle earth map


So the distance with pixels is 422 px = 6373000 meters

Length = 2455 px = 37075164.5 meters

Width = 1677 px = 25325886.3 meters

So the Area is = 9.39e+14 m^2

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