Four towns, minimal roads

Geometry Level 5

Four towns (Abra, Bulbasaur, Charmander, and Dratini) happen to be located on the corners of a square with side length of 2 km as shown here as A, B, C, and D:

You, as an urban planner are in charge of planning a road that connects the four towns with the least possible road distance.

What is the least possible road distance (in kilometers) that you can use?

Give your answer to 2 decimal places.


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