There is no rational answer because you are talking about two completely different things. A meter is a lineal distance measurement. A square meter is an area measurement. If I am driving to the store, I will measure my distance with a lineal measurement, as an example there are 4,358 meters from my house to the store, but there are not (technically) 4,358 square meters unless you drew the line from my house to the store 1 meter wide. 1 square meter has a lineal distance measurement "around" the square of 4 meters. Pick a corner and pretend the square is a fenced in yard. In order to start in one corner and walk all the way around the fence, you will have to walk 4 meters, so you may be able to say that 1 square meter has a "perimeter" of 4 meters.
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