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It’s similar figure with proportions

It’s similar figure with proportions-example-1

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Answer:

x = 72 cm

Explanation:

Because the two figures are similar, we can create a proportion between one set of similar sides (i.e., the side measuring 48 cm and the side measuring 6 cm) and another set (the side measuring x cm and the side measuring 9 cm. This, will allow us to solve for x:


(6)/(48)=(9)/(x)\\ 432=6x\\ 72=x

Another way to solve would have been to notice that the scale factor used to create the bigger puzzle piece is 8 since 6 * 48. In order for the smaller figure to be considered similar to the larger, every side had to be multiplied by the same scale factor. Since the scale factor is 6, x must be 72 cm as 9 * 8 = 72

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User Diego Dias
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