Let me tell Mike where the library at home is and draw him a road map.

(1) The library is located 30 south of Lingling's home, with a distance of 200×3=600 meters;

② Liangliang's route to Lingling's house is:

First, walk 400 meters to the school at No.22 in the northeast, and then walk 400 meters to Lingling's home at No.50 in the southeast of the school.

Therefore, the answer is: (1) 30,600 meters west and south; (2) First, walk 400 meters to the school at No.22 in the northeast, and then walk 400 meters from the school to Lingling's home at No.50 in the southeast. ..