Geometry

Question Analysis

The problem requires finding the perimeter of polygon PQRST using the similarity of polygons JKLMN and PQRST. We'll determine the ratio of corresponding side lengths and use it to calculate the perimeter of PQRST based on the perimeter of JKLMN.

 

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:

Let's take  and assume its corresponding side  (since polygons are similar). The ratio of similarity .

2. Calculate the perimeter of JKLMN:

Perimeter of .<...