A drawing room was a room where visitors to a home could gather and interact. The term was out of fashion sometime after the 19th century.
In 2267, following Trelane's revelation that he could change the shape of matter, James T. Kirk asked if he created his drawing room by doing so. Trelane confirmed his supposition. In the process of transporting the landing party back to Gothos after Spock beamed them back to the USS Enterprise, he described it as more "appropriate", "tasteful" and "fitting" for their socialization. (TOS: "The Squire of Gothos")