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The fact that the tables are round is a distraction as (since most rooms are rectangular) each table would have to fit in a square 48 inches by 48 inches (or 4 foot by 4 foot). This means that each table will take up 4*4 = 16 square feet.

If you divide 16 into 600 you come up with 37.5 tables so in theory you could fit 37 tables into it. However, if the room was 1 foot wide and 600 feet long you would not be able to fit any tables into it.

Only if the room was irregularly shaped could you fit the maximum number of 4 ft round tables, each of which has the area (pi)(22) or about 12.57 square feet. A total area of 600 square feet would fit the "area" of 47.75 of the tables.

By arranging the tables in staggered rows, a rectangular room could fit between 37 and 42 tables, depending on the room width.

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Q: How many 48 inch round tables fit in a 600 square foot room?
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