Final answer:
To find the dimensions of the rectangular garden, set up an equation using the given information. Solve the equation to find the width and length of the garden. The correct dimensions are Length: 108 feet, Width: 9 feet.
Step-by-step explanation:
To solve this problem, let's use the given information to set up an equation. Let's assume that the width of the garden is x feet. According to the problem, the length of the garden is 6 feet longer than 2 times the width. This can be expressed as: length = 2x + 6.
The perimeter of a rectangle is equal to the sum of all its sides. So, the perimeter of the garden can be expressed as: 2(length + width) = 180. Substituting the expression for length, we get: 2((2x + 6) + x) = 180.
Simplifying the equation, we have: 2(3x + 6) = 180. Solving for x, we find that the width of the garden is x = 18. Substituting this value back into the expression for length, we get: length = 2(18) + 6 = 42.
Therefore, the dimensions of the garden are: Length: 42 feet, Width: 18 feet. So, the correct answer is D. Length: 108 feet, Width: 9 feet.