The two figures are similar, solve a proportion to find the length n.

Express the result as either a whole number or use decimal digits only
if necessary.
*
* * 15 cm
9 cm * *
* *
* * * * * * *

*
* *
12 cm * * n
* *
* *
* * * * * * * * * *

To find the length of n in the given figures, we can set up a proportion based on the similarity of the figures. Similarity means that the corresponding sides of the figures are proportional.

In this case, we can compare the lengths of the sides of the figures:
9 cm : 15 cm = 12 cm : n

To solve for n, we can cross-multiply and then solve for n:
9 cm * n = 12 cm * 15 cm

Multiply both sides:
9n = 180 cm^2

Divide both sides by 9 to isolate n:
n = 20 cm

Therefore, the length of n is 20 cm.