<h2><u><em>
Answer:</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
The ratios of the lengths of the corresponding sides of the two pentagons is 3:1</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
The ratios of the perimeters of the two pentagons is 3:1</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
Step-by-step explanation:</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
Let the first pentagon be X and the second pentagon be Y.</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
Ratio of area of the two pentagons is </em></u></h2><h2><u><em>
9</em></u></h2><h2><u><em>
Ratio of sides of the pentagon is equal to</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
3</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
Ratio of perimeters is equal to ration of sides</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
Hence,</em></u></h2><h2><u><em>
The ratio of the perimeter is 3 as well</em></u></h2>
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