Question

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

Answer 1

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.

$\frac{PL}{WZ}=\frac{PA}{WX}$

$\frac{40}{120}=\frac{15}{c}$

c = $\frac{15\times 120}{40}$ [By cross multiplication]

c = 45

Therefore, Option D. c = 45 will be the answer.