None, since there can be no conversion.
A linear (or lineal) metre is a measure of length in 1-dimensional space. A square metre is a measure of area in 2-dimensional space. The two measure different things and, according to basic principles of dimensional analysis, any attempt at conversion from one to the other is fundamentally flawed.
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4 meters times 4 meters = 16 square meters
8.05468
A square with a side length of 16 meters has an area of 256 square meters.
About 160 square feet
Well, darling, let's cut to the chase. To convert those pesky feet to square meters, you multiply the length by the width in feet, then multiply by 0.092903 to get the area in square meters. So, for a 19 ft by 16 ft area, you're looking at about 28.34 square meters. Voilà!