Algebra-1

Question Analysis
This question tests the application of the quadratic formula in a real-world context. The problem involves finding the dimensions of a rectangular garden given its area and a relationship between its length and width. The quadratic equation derived from the area formula is solved to find the width.

Key Concept Explanation
The quadratic formula, , is used to solve for the variable in the quadratic equation. In this context, the roots represent the possible widths of the garden, and only the positive root is physically meaningful.

Step-by-step Solution
1. Let the width be meters. Then the length is meters.
2. Set up the area equation: .
3. Rewrite as a standard quadratic equation: .
4. Identify coefficients: