Question

Two pentagons are similar. the area of one of the Pentagon is 9 times that the other. determine the ratio of the length of the corresponding sides and the perimeter of the Pentagon

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Answer 1

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

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