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A metre is a unit of length, an square metre is a unit of area.

An area that is a square with sides 1 metre in length is one square metre in area.
There is no equivalence.

A metre is a measure of length or distance in 1-dimensional space while 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, conversion from one to the other is not valid without some addition information.
This question is unanswerable because a square meter is a unit of area whilst a meter is a unit of linear measure.
A meter is a unit of length and a square meter is a unit of area. A square meter can be a rectangle, square, rhombus, circle, or any of an infinite number of other plane geometric figures having the same area as a square with side lengths of one meter.
This question has no literal meaning, due to the fact that you are attempting to convert a two dimensional figure into a single dimension, which is an impossibility. You very obviously meant something else, so I shall try to expand on all possible interpretations of this question.

A square meter is a measurement of area, in which the total area is equal to that formed of a perfect square with sides of one meter each. In theory, one square meter can be confined by a perimeter whose length and number of sides are approaching infinity. The word approaching is vital in this case, as, for example, a quadrilateral with a side of infinite units would change into a shape with a single dimension, resulting in an area of zero. A shape with an infinite number of sides is in theory a circle, which has no definite area due to the fact that the number pi, which is necessary in the calculation to work out the area, is irrational.

There is an infinite number of possibilities of shapes that can confine a square meter. If we confine the perimeter to a quadrilateral with four right angles, there is still an infinite number of shapes which confine a square meter. We could, for example, have a square with sides of one meter, giving us a perimeter of 4. Another perfectly valid shape would be a rectangle with sides of 0.5 and 2 meters. 2 times 0.5 is equal to one, so the rectangle would still confine a square meter. This time, however, the perimeter is 5.

The list goes on and on. Of course, I may not have answered your question as you may have wanted; in this case, I recommend you rephrase your question and post it again.

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9y ago
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11y ago

A square metre is a unit of area. A metre is a unit of length. The two units are therefore incompatible.

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