What does it mean to divide an area by a distance?

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Let's say for example we divide 2m^2 by 1m, the result is 2m. What is the physical interpretation of this? I mean, dividing an area by a distance makes no sense to me.

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If a rectangular piece of fabric has area $2m^2$ and one side is $1m$ long how long is the other side?

You might enjoy this droppings xkcd. Read down to the line

Gas mileage is measured in square meters.