Geometry

Question Analysis  

The main focus is to determine how dilation affects the length-to-width ratio of a rectangle, relying on the property that dilations preserve proportionality of side lengths.  

Key Concept Explanation  

Dilation Property: A dilation scales all linear measurements (lengths, widths) by a common scale factor . This preserves the ratio of corresponding sides, as both length and width are multiplied by the same factor.  

Step-by-Step Solution  

1. Let the original length and width be  and  (where  is a constant).  

2. After dilation by scale factor , the new length and width become  and

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