Final answer:
When two shapes are similar, their corresponding sides are proportional. Setting up a proportion and solving for the missing length, we find that u should be 40 km, which is not an available option. It suggests there might be an error in the question's provided information.
Step-by-step explanation:
If two shapes are similar, it means that the corresponding sides are proportional. We can set up a proportion to find the missing length u. Since you provided the lengths of 36 km, 15 km, and 96 km, we assume that they correspond to similar sides of the two shapes. Therefore, the proportion is:
36 km / 15 km = 96 km / u
To solve for u, we cross-multiply:
- 36 km × u = 15 km × 96 km
- 36u = 1440 km2
- u = 1440 km2 / 36 km
- u = 40 km
However, the provided options do not include 40 km as a possible answer. Therefore, it seems there might be a typo or error in the question. Check the question again to make sure all the provided numbers are correct.