Question

are these shapes similar?

Explanation:

Step1: Check the angles

All angles in both shapes are right angles (90 degrees), so angles are equal.

Step2: Calculate the ratios of corresponding sides

For the first shape (rectangle \(KLMN\)): sides are \(25\) yd and \(40\) yd.
For the second shape (rectangle \(TUVW\)): sides are \(30\) yd and \(48\) yd.
Ratio of shorter sides: \(\frac{25}{30}=\frac{5}{6}\)
Ratio of longer sides: \(\frac{40}{48}=\frac{5}{6}\)

Since the ratios of corresponding sides are equal and all corresponding angles are equal.

Answer:

yes