A rectangular garden has an area of and a length that is 2 meters longer than its width. Find the dimensions of the garden. Let the width bemeters. The width is meters and the length is meters.
Answer & Analysis
Analysis
Question Analysis
This problem applies the concept of solving quadratic equations by factoring to a real-world context, specifically finding the dimensions of a rectangular garden.
Key Concept Explanation
The area of a rectangle is given by the product of its length and width. By setting up a quadratic equation based on the given information, we can solve for the dimensions.
Step-by-step Solution
1. Let the width be meters. Then the length is meters.
2. The area is given by:
3. Simplify and set up the quadratic equation:
4. Factor the quadratic expression:
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