Geometry

Question Analysis

The main focus is to find the ratio of the perimeters of similar polygons EFGH and KLMN. Since the ratio of perimeters of similar polygons is equal to the ratio of their corresponding side lengths, we need to find the ratio of one pair of corresponding sides.

Key Concept Explanation

For similar polygons, if polygon and polygon are similar, the ratio of their perimeters and is the same as the ratio of any pair of corresponding side lengths and , i.e., .

Step - by - Step Solution

1. Select a pair of corresponding sides:

Let's take side in polygon EFGH and its corresponding side

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