Parallelogram PARL is similar to parallelogram WXYZ. If AP = 15, PL = 40, and WZ = 120, find the value of c .50 110 6 45

Respuesta :

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.

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