You can set up a proportion and solve for the unknown side. Say that your rectangle has a short side that measures 4. The long side, unknown at this time, is x. The scale factor of the long side to the short side is 2/1 or 2:1. That would mean that the ratio of the actual side measurements, long side to short side, would be x/4. Set up a proportion where that ratio and the scale factor are equal to each other. Cross multiply and solve for x.
x/4 = 2/1
x = 8
The long side of the rectangle would measure 8.
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If you know one of the sides of both the rectangles than you just divide them by one another to find the scale factor.
Finding the scale factor for two polygons is simple to do. All you have to do is find the angles in a rectangle.
you make it into a fraction and multipy it by any giant one. then you have to REDUCE it
well.... first off you have to find the scale factor...