Geometry

Question Analysis
This question involves using the area ratio of similar rectangles to find the length of the larger rectangle.
The main focus is understanding the connection between the ratio of areas and the ratio of corresponding side lengths in similar figures.

Key Concept Explanation
For similar rectangles, if the ratio of their areas is , and the ratio of corresponding side lengths is , then .
This is because area is a two - dimensional measurement and scales with the square of the linear - dimension ratio.

Step - by - Step Solution
Let , so

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