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

Question

Responses
A 8 mm8 mm
B 12 mm12 mm
C 16 mm16 mm
D 24 mm24 mm
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Answer 1

To find the missing length b, we need to use the scale factor between the two figures. Since the figures are similar, we can set up a proportion to find the missing length.

Let's denote the length of the corresponding sides in the two figures as follows:
Length a in the first figure = 6 mm
Length b in the second figure = unknown

We can set up a proportion using the scale factor:
6 mm / 8 mm = b / 12 mm

Solving for b, we get:
b = (6 mm * 12 mm) / 8 mm
b = 72 mm / 8 mm
b = 9 mm

Therefore, the missing length b is 9 mm.