[d0mine]

for the unraveled room:

  sqrt(1+x^2) + sqrt((6-x)^2+y^2)+sqrt(12^2+z^2)+
  sqrt((30-z-y)^2+u^2)+sqrt((6-u)^2+1)

  40 at {x -> 0.75, y -> 7, z -> 16, u -> 5.25}

http://www.wolframalpha.com/input/?i=minimize%5B%7Bsqrt%281%...

your equation: http://www.wolframalpha.com/input/?i=minimize+2%28sqrt%281%2...