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Parallelogram PARL is similar to parallelogram WXYZ. If AP = 18, PL = 24, and WZ = 96, find the value of c.

A. 4
B.96
C.42
D.72
somebody can help me

User Zapotec
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1 Answer

7 votes

Answer: c = 72

Explanation:

You didn't tell us which segment has a length of c, but I'm assuming you meant WX because it corresponds to PA. If two figures are similar, we know that their side length are in proportion. With this, we can set up our proportion
(18)/(24) =(c)/(96) where c is the length of WX. By cross multiplying and dividing, you get 72 for the value of c.

User Jurudocs
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