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Answer :
Final answer:
The correct option is C) Length: 120ft, Width: 80ft, obtained by solving the given equation.
Explanation:
The question is asking us to find the dimensions of a rectangle that can be enclosed by 360ft of antique picket fencing such that the width is two thirds of the length. In a rectangle, the perimeter is found by the formula 2(length + width). Let's denote the length as L and width as 2L/3, reflecting that the width is two-thirds the length. Thus, the equation that represents the total amount of fencing is 2(L + 2L/3)=360. By solving this equation, we find that L=120ft and the width, which is two-thirds of this, is 80ft. Hence, the correct solution is option C) Length: 120ft, Width: 80ft.
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