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Yes they must be in the same units of measurements.
The matrices must have the same dimensions.
Yes.
If they are not on the same dimension then you cannot do this. They will be different numbers and will not go together.
You can't tell the dimensions from the perimeter. There are an infinite number of rectangles, with different dimensions, that all have the same perimeter. If it's 168, then the only thing you can be sure of is that the length and width add up to 84, but you can't tell what either of those dimensions must be.