The 2 pentagons above are similar. what is the area of the smaller pentagon? 18 in2 27 in2 6 in2 9 in2

The correct answer is the third option, which is:

 6 inches²

 The explanation is shown below:

 1. You are working with the areas of the pentagons shown in the figure above. Therefore, the ratios are:

 side1²/side2²=A1/A2

 (7.5)²/(2.5)²=54/A2

 Where A2 is the the area of the smaller pentagon.

 2. Therefore, you have that the result is:

 A2=6 inches² (As you can see, it is the third option mentioned above). 

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