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square numbers get their name because the dimensions of a square are 2x2, 4x4, ect.
If 'S' is the relationship between actual and scale linear dimensions,then 'S2' is the relationship between actual and scale areas.
The actual dimensions of a modern 2x4 is 1.75 by 3.5 inches.
# is the ratio of the demensions in the drawing to the corresponding actual dimensions. The scale factor for a scale drawing is the ratio of the dimensions in the drawing to the corresponding acual bimensions.
I assume you mean dimension. It is the relative length of the sides and not the actual length that matters. http://mathworld.wolfram.com/IsoscelesTriangle.html