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Two corresponding side of similar pentagons are 12 cm and 28 cm. what is the ratio of the areas of the pentagons? A. 12/28 B. 27/343 C. 9/49
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Two corresponding side of similar pentagons are 12 cm and 28 cm.

what is the ratio of the areas of the pentagons?

A. 12/28

B. 27/343

C. 9/49

User Rabbi Shuki Gur
by
8.7k points

1 Answer

2 votes
The ratio of the areas of the polygon will be evaluated as follows:
area scale factor=(linear scale factor)²
linear scale factor=(length of pentagon A)/(length of polygon B)=12/28=3/7
thus:
area ratio=(3/7)²=9/49

Answer: C. 9/49
User Florian Salihovic
by
7.8k points
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