Algebra-1

Question Analysis
This question tests the student's ability to solve a system of equations based on a geometric context. The key is to recognize the relationship between the length and width of the rectangle and use the perimeter formula to set up and solve the equations.

Key Concept Explanation
The problem involves understanding the relationship between the length and width of a rectangle and using the perimeter formula to find the dimensions. This is a basic application of systems of equations in a geometric context.

Step-by-step Solution
1. Let be the width of the garden, be the length of the garden.
2. The length of the garden is 3 times the width, so the length is .
3. The perimeter of a rectangle is given by the formula .
4. Substitute the known values into the perimeter formula: .
5. Simplify the equation:

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