Geometry

Question Analysis

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

 

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 EFGHI:

Perimeter of

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