None, since there can be no conversion.
A linear (or lineal) foot 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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You need to know the other dimension or the shape.
If it is a square of 1m2,your length is 1 metre because 1m x 1m is 1m2
Lineal metres = Square metre/Width of the carpet.
That is like asking how many yards in a gallon. There are no square meters in a meter, and no meters in a square meter.
You cannot convert meters to square meters. A meter measures length or distance. A square meter measures area.
156 meters squared = 24,336 meters.
A 7-meter diameter circle has an area of 38.5 square meters.