We want to find the length of DY, and we are given that TRAP ~ EZYD.
Since the polygons are similar, we know that the lengths of corresponding sides are proportional.
P A/D Y=A R/Y Z= R T/Z E=T P/E D
Knowing this extended ratio, we can solve for any missing side length using any three known side lengths. In this case, we know the lengths of sides RT, ZE, and PA. Therefore, we can find DY by substituting these lengths in the first part of the above proportion.
