A room in the Hotel de Soubise. The room is Rococo style with a grand chandelier, ornate carvings, and many French doors for fashionable gatherings. What is the name for the type of room shown above, and what was this type of room used for?

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The room is a salon, a lavish setting for fashionable gatherings.

Explanation:

The question refers to the Salon de la Princesse, located in the Hotel Soubise, Paris, France. This room is a traditional French Rococo room, also known as a salon, designed by Germain Boffrand.  

The salon was usually a living room in some aristocrat´s home that was turned to the central space to entertain guests and engage in intellectual conversation. This was a common practice among the wealthy and aristocratic people that had moved to Paris from Versailles following the reign of Louis XIV.

hi     (had to add 20 words)