Answer:
Option D. c = 45 will be the answer.
Step-by-step explanation:
In the figure attached there are two similar parallelograms PARL and WXYZ.
In which AP = 15, PL = 40, WZ = 120 and WX = c
By the property of similarity, corresponding sides of the given parallelograms will be in the same ratio.
[tex]\frac{PL}{WZ}=\frac{PA}{WX}[/tex]
[tex]\frac{40}{120}=\frac{15}{c}[/tex]
c = [tex]\frac{15\times 120}{40}[/tex] [By cross multiplication]
c = 45
Therefore, Option D. c = 45 will be the answer.