A rectangular garden has a length that is 3 meters more than its width. If the area of the garden is 70 square meters, what is the width of the garden? The width of the garden ismeters.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to solve rational equations in a real-world context involving geometric shapes and areas.
Key Concept Explanation
To find the width of the garden, we need to set up an equation based on the relationship between the length and the width, and the given area.
Step-by-step Solution
1. Let be the width of the garden.
2. The length of the garden is meters.
3. The area of the garden is given by .
4. Set up the equation:
5. Expand and simplify:
6. Solve the quadratic equation using the quadratic formula:
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