(Solved): G1 A bed that is 4 feet wide must enter through a door (that is just over 4 feet wide) along the 8 ...

G1 A bed that is 4 feet wide must enter through a door (that is just over 4 feet wide) along the 8 foot wall of a 8 by 20 foot room. What is the largest length of a bed that can be rotated to fit with longest side along the 8 foot long wall opposite the door. (Note that the bed must be rotated 90 degrees to fit, and the diagonal length of the bed must be small enough to undergo the rotation.)