Its a topology question, please answer the question in detail, will upvote!

29. Show that the house with two rooms' pictured in Fig. 5.12 is contractible. Entrance to Room 1 Room 2 Room 1 Entrance to Room 2 Figure 5.12 29. Show that the house with two rooms' pictured in Fig. 5.12 is contractible. Entrance to Room 1 Room 2 Room 1 Entrance to Room 2 Figure 5.12