Question

if these two shapes are similar, what is the measure of the missing length k? 20 mi 5 mi 40 mi k k = \boxed{} miles submit

Explanation:

Step1: Find the scale factor

The corresponding sides are 20 mi (small) and 40 mi (large). The scale factor is $\frac{40}{20}=2$.

Step2: Apply scale factor to find k

The small side is 5 mi. Multiply by scale factor: $5\times2 = 10$.

Answer:

10