By doubling the dimensions of a polygon the scale factor is 2, the perimeter is 2x the original, and the area is doubled. By tripling it, the scale factor is 3.If the perimeter is 1 by 1, the area is 4 if doubled it would be 8, and if tripled it would be 12. Therefore, the area of a 1 by 1 polygon would be 1, if it is doubled it is 4 if tripled it is 9.