Geometry

Question Analysis

The problem focuses on using the similarity of polygons QRST and WXYZ to find the perimeter of WXYZ. We'll rely on the fact that the ratio of corresponding side lengths of similar polygons is constant and relates to the ratio of their perimeters.

 

Key Concept Explanation

For similar polygons, the ratio of corresponding side lengths is the same throughout. Also, the ratio of the perimeters of two similar polygons is equal to the ratio of their corresponding side lengths.

 

Step - by - Step Solution

1. Find the ratio of corresponding side lengths:

Take the sides and . The ratio is .

2. Calculate the perimeter of QRST:

Perimeter of

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