SOLUTION: The ratio of the corresponding sides of two similar polygons is 2 : 3. If the perimeter of the larger polygon is 27, find the perimeter of the smaller polygon.

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Question 975748: The ratio of the corresponding sides of two similar polygons is 2 : 3. If the perimeter of the larger polygon is 27, find the perimeter of the smaller polygon.
Answer by Algerba_101(1) About Me  (Show Source):
You can put this solution on YOUR website!
Let us say that both polygons have n sides.
Length of each side of polygon#1 = x%5B1%5D
Hence, perimeter[1] = n%2Ax%5B1%5D
Length of each side of polygon#2 = x%5B2%5D
Hence, perimeter[2] = n%2Ax%5B2%5D+=+27

We know already, x%5B1%5D%2Fx%5B2%5D%7D=2%2F3
%28Perimeter%5B1%5D%2FPerimeter%5B2%5D%29+=+n%2Ax%5B1%5D%2Fn%2Ax%5B2%5D
Perimeter%5B1%5D%2F27+=+x%5B1%5D%2Fx%5B2%5D
Perimeter%5B1%5D+=+%282%2F3%29+%2A+27
Perimeter%5B1%5D+=+18
Therefore, perimeter of smaller polygon is 18.