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One does not. A square metre is a measure of area, with dimensions [L2]. A metre is a measure of distance, with dimensions [L]. The two measure different things and basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.
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You need more dimensions. Square feet cannot convert to meters. One is an area measurement (two dimensions) and the other is linear (one dimension).
Yes. A meter is a unit of length (1 dimension), a square meter is a unit of area (2 dimensions).