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

Answer ( 1 )

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    2022-12-30T14:14:16+00:00
    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
    #SPJ1

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