You can't without one or the other.
If you know length then width is the area divided by the length.
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Area = Length * Width = 13 ft * 6 ft = 13*6 sq ft = 78 sq ft
measure length by width = sq ft
Yes. convert to the common unit of measurement (e.g. ft to yd) and then multiply length times width.
Assuming Width <= Length then the width can be any positive value less than sqrt(270) feet = 16.43 feet (approx). Width = 15 ft goes with Length = 270/15 = 18 feet Width = 10 ft with Length = 270/10 = 27 ft Width = 0.0001 ft with Length = 270/0.0001 = 2700000 ft etc.
Surface area = 2 x (length x width + width x depth + depth x length) = 2 x (2 ft x 4 ft + 4 ft x 6 ft + 6 ft x 2 ft) = 2 x (8 sq ft + 24 sq ft + 12 sq ft) = 2 x 44 sq ft = 88 sq ft