Geometry

Question Analysis

The main task is to find the perimeter of polygon EFGH using the similarity of polygons ABCD and EFGH. We'll use the ratio of corresponding side lengths of similar polygons to relate the perimeters of the two polygons.

 

Key Concept Explanation

For similar polygons, the ratio of corresponding side lengths is constant. 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 and its corresponding side . The ratio of similarity .

2. Calculate the perimeter of ABCD:

Perimeter of

Click "Show Answer" to reveal the answer and analysis