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One thing that area and perimeter have in common are that they both are measurements of a shape while perimeter is the distance around and area is the measurement of space within the object or space.
A set of measurements is taken of a physical object or space, and the measurements uniformly reduced by a large factor, to create a model or chart in a smaller, more usable form. e.g. Scale models of buildings, terrain maps.
It does not. A millimetre is a measure of length in 1-dimensional space whereas a litre is a measure of volume in 3-dimensional space. The very basic rule of dimensional analysis states that there is no valid conversion between two measurements with different dimensions.