(13-ft x 16-ft) / (9 square feet per square yard) = (23 and 1/9) square yards
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4 1/3 squared is .. about 19 square yards
13-ft x 16-ft = 208 square feet
A yard is 3 feet so your room is 3 by 4 yards which is 12 sq yards. However, most carpet comes in widths of 13 feet so you may have to pay for 9 feet by 13 feet - as your supplier when getting a quote.
9 square feet = 1 square yard 10-ft x 13-ft = 130 square feet = 144/9 square yards
9 square feet = 1 square yard6 inches = 1/2 footArea = 13.5' x 13' = 175.5 square feet = 19.5 square yards.Note that although the question was written in terms of covering "the room",this figure represents only enough to cover the floor. If the ceiling is also to becovered, then the number must be doubled.Also, since we don't know the dimensions in which the carpet is delivered,we can't do anything with the matter of how you might need to cut the19.5 yds2 , in order to fit and cover the 13.5' x 13' floor.