Geometry

Question Analysis  

The task is to determine the perimeter of the larger polygon using the given side-length ratio (6:11) and the perimeter of the smaller polygon (42 units). The key is applying the property that the ratio of perimeters of similar polygons equals the ratio of their corresponding side lengths.  

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 larger polygon.  

The ratio of side lengths is