Geometry

Question Analysis  

The goal is to find the perimeter of the smaller polygon using the side-length ratio (9:14) and the perimeter of the larger polygon (168 units). The key is applying the property that the ratio of perimeters of similar polygons equals their side-length ratio.  

Key Concept Explanation  

For similar polygons, if the side-length ratio is , the perimeter ratio is also . Thus, .  

Step-by-Step Solution  

1. Set up the proportion:  

Let  = perimeter of the smaller polygon.  

The ratio of side lengths is , so:  

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