## Parallelogram PARL is similar to parallelogram WXYZ. If AP= 15, PL=25, and WZ= 75, Find the value of c.

Question

Parallelogram PARL is similar to parallelogram WXYZ. If AP= 15, PL=25, and WZ= 75, Find the value of c.

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1 week 2022-12-30T14:12:53+00:00 1 Answer 0 views 0

## Answer ( 1 )

1. The value of c in the parallelogram is 45

### How to determine the value of c?

From the question, we have the following parameters:
• Parallelogram PARL is similar to parallelogram WXYZ.
• AP = 15, PL = 25, and WZ= 75
To calculate the value of c, we make use of the following equivalent ratio.
AP : PL = XW : WZ
Substitute the known values in the above equation
15 : 25 = c : 75
Express the above equivalent ratio as fractions
15/25 = c/75
Multiply both sides of the equation by 75
75 * 15/25 = c/75 * 75
Evaluate the product
75 * 15/25 = c
Evaluate the product
1125/25 = c
Evaluate the quotient
45 = c
Rewrite the equation as
c = 45
Hence, the value of c in the parallelogram is 45
Read more about similar parallelograms at
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