Geometry

Question Analysis

The key is to use the similarity of polygons UVWXYZ and ABCDEF to find the perimeter of ABCDEF. We'll determine the ratio of corresponding side lengths and then use it to calculate the perimeter of ABCDEF based on the perimeter of UVWXYZ.

 

Key Concept Explanation

For similar polygons, the ratio of corresponding side lengths is constant, and the ratio of their perimeters is equal to the ratio of corresponding side lengths.

 

Step - by - Step Solution

1. Find the ratio of corresponding side lengths:

Take  and its corresponding side . The ratio of similarity .

2. Calculate the perimeter of UVWXYZ:

Perimeter of

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