Dear Amin,
Yes, you can nest two Views and query for the childs in the inner view.
Start by creating a View that filters all the houses from NY.
Then create a second View that shows rooms that belong to each house and add a between filter for the min and max square ft. Then add the second View, as a field, in the first View.
The information you need is a combination of these two documents:
http://wp-types.com/documentation/user-guides/using-a-child-view-in-a-taxonomy-view-layout/
http://wp-types.com/documentation/user-guides/querying-and-displaying-child-posts/
Please let me know if you are satisfied with my answer and if I can help you with any other questions you might have.
Regards,
Caridad