Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.

3

45

21

22

To find the value of c, we first need to find the scale factor between the two similar parallelograms.

The scale factor (k) can be found by setting AP/WZ = PL/c:
7/45 = 15/c
c = 45(15)/7
c = 45(2.142857)
c ≈ 96.43

Therefore, the value of c is closest to 96 or option 2.