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 [tex]\frac{A1}{A2} = \frac{9}{1}[/tex]
Ratio of sides of the pentagon is equal to
[tex]\frac{S1}{S2} = \sqrt{\frac{A1}{A2} }\\=\sqrt{\frac{9}{1} } \\=\frac{3}{1}[/tex]
Ratio of perimeters is equal to ration of sides
Hence,
[tex]\frac{P1}{P2} = \frac{3}{1}[/tex]
