Question

are these shapes similar?

Explanation:

Step1: Recall similarity condition

For two rectangles to be similar, the ratios of their corresponding sides must be equal.

Step2: Calculate side - length ratios

For the first rectangle with sides 25 km and 40 km, and the second rectangle with sides 20 km and 32 km. Calculate the ratio of the long - sides: $\frac{40}{32}=\frac{5}{4}$, and the ratio of the short - sides: $\frac{25}{20}=\frac{5}{4}$.

Answer:

Yes