Geometry

Question Analysis  

This question involves the Perimeters of Similar Shapes, focusing on using direct proportion between perimeters of similar triangles.  

 

Key Concept Explanation:  

Perimeters of similar triangles are in the same ratio as their corresponding side lengths. If the ratio is , then .  

 

Step-by-Step Solution:  

1. Let the perimeter of the larger triangle be .  

2. Set up the proportion using the given ratio:  

  

3. Cross-multiply to solve for

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