The following figures are similar. For the pair, find the length of the side indicated by x.
-
A) 225 in.
B) 3.6 in.
C) 0.36 in.
D) 22.5 in.

Question

The following figures are similar. For the pair, find the length of the side indicated by x.
-
A) 225 in. 
B) 3.6 in. 
C) 0.36 in. 
D) 22.5 in.

Quizplus · Accepted Answer

From the given figures, it is clear that the ratio of corresponding sides is 1:10. Therefore, if the length of one side is x, then the length of the corresponding side in the other figure is 10x. 
In the pair of figures, the length of the side indicated by x is 2.25 in. in one figure. Therefore, the corresponding side in the other figure is 10(2.25) = 22.5 in. Thus, the answer is D. The figures are similar, which means that corresponding sides are in proportion. Using the given information, we can set up the proportion:
$\frac{9}{6}=\frac{x}{15}$
Solving for x, we get:
$x=\frac{9}{6}\cdot 15=22.5$
Therefore, the answer is choice D.

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