Cumulative Practice
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We are given two similar figures and want to find the value of x.
For similar figures, the ratio between corresponding side lengths is always the same. With this information in mind, let's match its corresponding side lengths.
Since the figures are similar, their corresponding sides are proportional. With this information in mind, we can write a proportion in terms of x. x/12=18/16 We can now isolate x in this equation and find its value.
LHS * 12=RHS* 12
a/c* b = a* b/c
Multiply
a/b=.a /4./.b /4.
Calculate quotient
Therefore, the value of the missing side is 13.5cm and the correct option is C.