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Two pentagons are similar. The area of one pentagon is 9 times that of the other. Determine the ratio of the lengths of the corresponding sides and the perimeter of the pentagons.

Answer :

Answer:

The ratios of the lengths of the corresponding sides of the two pentagons is 3:1

The ratios of the perimeters of the two pentagons is 3:1

Step-by-step explanation:

Let the first pentagon be X and the second pentagon be Y.

Ratio of area of the two pentagons is

9

Ratio of sides of the pentagon is equal to

3

Ratio of perimeters is equal to ration of sides

Hence,

The ratio of the perimeter is 3 as well

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