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3. The pentagons below are similar. The area of the smaller pentagon is 30 m2. What is the area of the larger pentagon in m2?

187.5 m2
48 m2
75 2
133 m2

User Woahdae
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1 Answer

1 vote
I think you forgot to add the picture along with the question. I am answering the question based on my research and knowledge.
Ratio of the sides of the pentagon = 10/4
= 5/2
Ratio of the area of the pentagons = (5/2)^2
= 25/4
Then
Area of the larger pentagon = (25/4) * 30
= 187.5 m^2
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the first option.
User Ellery
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5.8k points