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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.
480/6 = 80
12