The 2 pentagons above are similar. What is the area of the smaller pentagon? 18 in2 27 in2 6 in2 9 in2 Question The 2 pentagons above are similar. What is the area of the smaller pentagon? 18 in2 27 in2 6 in2 9 in2 in progress 0 All 1 month 2022-04-09T16:37:02+00:00 2022-04-09T16:37:02+00:00 2 Answers 0

## Answers ( 2 )

The correct answer is the third option, which is:

6 inchesu00b2The explanation is shown below:

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

side1u00b2/side2u00b2=A1/A2

(7.5)u00b2/(2.5)u00b2=54/A2

Where A2 is the the area of the smaller pentagon.

2. Therefore, you have that the result is:

A2=6 inchesu00b2 (As you can see, it is the third option mentioned above).

let As = smaller pentagon area

(7.5/2.5)^2 = 54/As

As = 6 sq.inches

The answer is 6 in^2