In the book “The Most Dangerous Game”. Why does Rainsford leave the chateau? And what does he do after?

Answer and explanation:

The Most Dangerous Game tells a story about Rainsford, a renowned hunter, who, by accident (he fell off a yacht), ends up on an infamous island where a lot of sailors lost their lives. He runs into a chateau where he meets Ivan, a servant, and General Zaroff. Zaroff offers him a room and food. At dinner, Rainsford learns that Zaroff is a passionate hunter too, but he is kinda disappointed because there is no challenging prey for him anymore. Through the conversation, Rainsford becomes bitter as he realizes that Zaroff hunts for human beings too. Eventually, he states that he wants to hunt for Rainsford too and he sends him into the island`s jungle with food and clothes. So, Rainsford leaves the chateau. He begins the game of hide-and-seek with Zaroff, who he underestimated. First, he succeeds to hurt Zaroff in a trap, so Zaroff goes back to the chateau. Later with another trap, he kills one of Zaroff`s hunting hounds. Ivan lost his life too, due to one more of the Rainsford`s traps. Finally, he enters the chateau and waits for Zaroff in his bedroom, men fight, and eventually, Zaroff becomes the prey of his last hunt.

So, he leaves the chateau because he goes for a hunt where he is the prey and after that, he tries to survive.

as for symbolic actions, the narrator's tearing down the wallpaper in an attempt to find the "woman" in the wallpaper represents her struggle to retain or regain her sanity.   the wallpaper has been part of her confinement and by her tearing it down, she is freeing herself from that confinement.