Answer :
Final answer:
The question involves solving a basic linear equation. The length of the garden is found to be approximately 65 feet.
Explanation:
The problem given is a classic example of a linear equation, specifically involving the concepts and properties of rectangles and perimeters. It can be solved using a mixture of algebra and geometry.
Briefly, the perimeter of a rectangle is calculated by the formula 2*(Length + Width). Given that the perimeter is 186 feet and the length of the garden is described as 'three feet more than twice the width', the two can be equated accordingly. For clarity's sake, let the width of the garden be 'x'.
So, that means we have:
- Length = 2*x + 3
- Perimeter = 2*(Length + Width)
Replacing the values gives us the equation:
186 = 2*((2*x + 3) + x)
This simplifies and resolves to x ~= 31ft (width) and the length is ~= 2*31 +3
= 65 ft
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