The required scale factor for the small rectangle is 8.
Given that,
Rectangle a is a 2 by 4 would a be 4 by 8,
To determine the scale factor,
The scale factor is defined as the ratio of modified change in dimensions to original dimensions
Area of the rectangle = product of dimensions = length * width
Area of the former rectangle = 2 * 4
= 8
Area of the later rectangle = 4 * 8 = 32
Scale factor = area of the later rectangle/area of the former rectangle
= 32 / 8
= 8
Thus, the required scale factor for the small rectangle is 8.
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