Question

The 2 pentagons above are similar. What is the area of the smaller pentagon?

Answer 1

Let As = smaller pentagon area

(7.5/2.5)^2 = 54/As

As = 6 sq.inches

The answer is 6 in^2

Answer 2

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).