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

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

in progress 0
2022-04-09T16:37:02+00:00 2 Answers 0

Answers ( 2 )

  1. Lilybelle
    0
    2022-04-09T16:38:33+00:00

    The correct answer is the third option, which is:

    6 inchesu00b2

    The 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).

  2. Kylie97
    0
    2022-04-09T16:38:54+00:00

    let As = smaller pentagon area

    (7.5/2.5)^2 = 54/As

    As = 6 sq.inches

    The answer is 6 in^2

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