Algebra-2

Question Analysis
This problem involves setting up and solving a quadratic equation based on a real-world scenario. The key is to express the relationship between the length and width and then solve for the dimensions.

Key Concept Explanation
The area of a rectangle is given by the product of its length and width. In this case, the length is twice the width, so we can set up the equation . The area is given as 144 square meters, so we have .

Step-by-step Solution
1. Set up the equation for the area:
2. Substitute into the area equation:
3. Simplify the equation:

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