A rectangular garden has a length that is 3 meters more than its width. The area of the garden is 70 square meters. Let be the width of the garden. Write the quadratic equation that represents the area of the garden and solve for . The width of the garden is ________ meters.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to set up and solve a quadratic equation based on a real-world scenario.
Key Concept Explanation
The quadratic formula, , is used to find the roots of a quadratic equation . In this context, the roots represent the possible dimensions of the garden.
Step-by-step Solution
1. Let the width be meters. Then the length is meters.
2. The area of the garden is given by:
3. Expand and set the equation to zero:
4. Identify coefficients: , ,
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.