To solve the problem, we first need more information about the dimensions of the rectangular garden and the way the fence will be dividing it into two triangular areas. Since the diagram is not provided, I cannot visually assess the situation.
However, if we assume Mia is going to draw a diagonal line from one corner of the rectangle to the opposite corner to create two triangular areas, we can simply calculate the length of that diagonal.
If the garden has length \( l \) and width \( w \), the length of the diagonal, which would be the length of the fence needed, can be calculated using the Pythagorean theorem:
\[ d = \sqrt{l^2 + w^2} \]
You can substitute the values of length and width into this formula to find the length of the fence.
If you provide the dimensions of the garden, I can help you calculate the exact length of the fence needed. Otherwise, based on the provided responses, if any of them has previously been established as the correct answer based on the diagram or dimensions of the garden, choose the one that best fits.
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