Geometry

Question Analysis  

The task is to determine the ratio of the side lengths of similar polygons X and Y using their perimeters (20 units for X, 35 units for Y). The key is applying the property that the ratio of side lengths of similar polygons equals the ratio of their perimeters.  

 

Key Concept Explanation  

For similar polygons, the ratio of corresponding side lengths equals the ratio of their perimeters. If the perimeters are and , then .  

 

Step-by-Step Solution  

1. Set up the perimeter ratio:  

The ratio of the perimeter of X to Y is:  

2. Simplify the ratio:  

Divide both terms by their greatest common divisor (5):  

Thus, the ratio of the side lengths of X to Y is