scaled shape: 32mm and 16mm smaller shape 4mm and b

Given that the two figures are similar, use a scale factor to find the missing length b.

To find the missing length b, we can use the scale factor between the two shapes.

Scale factor = larger shape / smaller shape

For this problem:
Scale factor = 32mm / 4mm
Scale factor = 8

Now, we can use the scale factor to find the missing length b:

b = 8 * 16mm
b = 128mm

Therefore, the missing length b is 128mm.