If the side - length ratio of two similar polygons is 3 : 5, what is the ratio of their perimeters?
Options
A
3 : 5
B
5 : 3
C
9 : 25
D
25 : 9
Answer & Analysis
Answer
A
Analysis
Question Analysis
The task is to determine the ratio of the perimeters of two similar polygons given their side-length ratio (3:5). The key is recognizing that the perimeter ratio of similar polygons equals their side-length ratio.
Key Concept Explanation
For similar polygons, the ratio of corresponding side lengths is equal to the ratio of their perimeters. If the side-length ratio is , the perimeter ratio is also .
Step-by-Step Solution
1. Apply the similarity property:
Given the side-length ratio
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