181k views
5 votes
Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement

Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement-example-1
User NilColor
by
3.8k points

1 Answer

0 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 Whisperstream
by
4.3k points