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 c

Question

bixtya [17]

2 years ago

11

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 c

orresponding sides and the perimeter of the Pentagon

Mathematics

1 answer:

kolbaska11 [484] · Answer 1 · 2023-05-12T05:49:09+03:00

<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>