Geometry

Question Analysis
This question is about working backwards from the ratio of areas of two similar rectangles (derived from the scale factor) to find the area of the smaller rectangle.
The main focus is on the relationship between the scale factor and the ratio of areas.

Key Concept Explanation
Since the ratio of the areas of two similar figures is equal to the square of the scale factor , we can use this formula to solve for the unknown area when the other values are provided.

Step - by - Step Solution
Let the scale factor be and , and let square meters be the area of the larger rectangle and be the area of the smaller rectangle.
We know that , then 

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