Solve for x. The polygons in each pair are similar.
scale factor from A to B = 1:3.
\((2x - 16) : 12 = 1 : 3\\ 2x - 16 = 4\\ x = 10\)
OR
If the scale factor of the area is 1:3
then the scale factor of the side length is 1:sqrt(3)
so
\(\frac{\sqrt3}{1}=\frac{12}{2x-16}\)
now solve it for yourself.