Square feet is a measure of area and linear is a measure of length. There is no conversion between the two.
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16 feet x 80 feet = 1,280 square feet.
A 15 by 16 foot rug would have perimeter of (15+15+16+16) = 62 feet. To convert to linear feet, you would double the perimeter (that is, consider both sides of the rug) so a 15 by 16 foot rug is equivalent to 124 linear feet.
16' x 14' = 224 square feet.
The room has a total of 352 square feet (22 x 16 = 352).
25 x 16 = 400 square feet.