Algebra-1

Question Analysis
This question requires students to set up and solve a quadratic equation based on a real-world geometric problem.

Key Concept Explanation
The key concept here is the application of the quadratic formula to solve for the dimensions of a rectangle given its area.

Step-by-step Solution
1. Let the width be . Then the length is .
2. Set up the equation for the area: .
3. Expand and rearrange: .
4. Identify the coefficients: , , .
5. Substitute into the quadratic formula: .
6. Simplify the expression under the square root:

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