Central park in city

The city park has the shape of a rectangle of 180 meters in length and 120 meters in width. People make their walk through the center of the park from one corner to the second. Calculate how many meters this way is shorter than they walked along the path that runs around the perimeter?

Correct result:

x =  83.6669 m

Solution:

$x=180+120-\sqrt{180^2+120^2}=83.6669\text{ m}$

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