What are the dimensions of a 650 square foot room?

Answer 1

Unfortunately, there is not enough information to answer this question. There are literally hundreds of answers.

Assuming it is a rectangular shaped room, then

Area = length x width

So it could be 65x10, or 130x5, or 50x13 or 26x25 or 11x59.9, 12x54.16 etc.

So again, if it is a rectangle, we would need another dimension before answering this question.

Of course, if it were not a rectangle, that would open a whole range of new answers.