are these shapes similar? yes no submit

Answer:

yes

Explanation:

Step1: Check ratio of corresponding sides

For the longer - side ratio: $\frac{40}{32}=\frac{5}{4}$.

Step2: Check other corresponding - side ratio

For the shorter - side ratio: $\frac{25}{20}=\frac{5}{4}$.

Step3: Check angles

Both shapes are rectangles, so all angles are $90^{\circ}$. Since the ratios of corresponding sides are equal and corresponding angles are equal, the shapes are similar.