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Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement

Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement-example-1
User Thum Choon Tat
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1 Answer

11 votes
11 votes

Answer: 14

Explanation:

Since they are similar, that means their side lengths are proportional.

Therefore,
(WX)/(AB) = (WZ)/(AD).

We can plug in the values we know:

Let x be the missing measurement.


(16)/(24) =(x)/(21)

We can simplify 16/24 to 2/3.

2/3 = x/21.

We can cross multiply:

42 = 3x

Therefore, x = 14

User Deby
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