By using the concept of dilation, we find that scale factor from A to B is equal to l' / 5, where l' is the length of the shortest side of the quadrilateral B.
Scale factor is a key variable used to dilate lengths and distances by rigid transformations. Then, the length of the shortest side of the quadrilateral B is equal to the product of the scale factor and the length of the shortest side of the quadrilateral A. Mathematically speaking, this kind of rigid transformation is represented by the following formula:
r = l' / l
Where:
If we know that l = 5, then the length of the shortest side of the quadrilateral B is equal to the following linear equation:
l' = 5 · r
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