Which area best to stay if i plan to visit hangzhou xihu lake and the pagoda?

You are advised to stay near the West Lake. You can consider Sofitel Westlake Hotel at No. 333, West Lake Avenue. The hotel provides comfortable environment and good service. It costs around CNY 1,000 per night. You can dial 86-0571-87075858 to book a room.

By the way, the hotel is just by the lake, so you can have a panoramic view of the lake. You must refer to Leifeng Pagoda by "pagoda", right? You can take bus line 822 or Y2 from Yongjinmen East Station to Jingsi Station, and you can see it. Have a wonderful time!