To divide a rectangular garden into two triangular areas, Mia will need to build a diagonal fence from one corner of the rectangle to the opposite corner. The length of this diagonal can be calculated using the Pythagorean theorem if the lengths of the sides of the rectangle are known.
The Pythagorean theorem states:
\[ c = \sqrt{a^2 + b^2} \]
Where:
- \( c \) is the length of the diagonal (the fence needed).
- \( a \) and \( b \) are the lengths of the rectangular sides.
Unfortunately, without specific dimensions of the garden, we cannot compute the length of the fence directly. Since you provided options, we can analyze which might be plausible for a typical rectangle.
Assuming typical dimensions for rectangles based on the given options, I suggest calculating the diagonal for possible common rectangular dimensions.
However, to ultimately provide a precise answer, please provide the dimensions of Mia's rectangular garden or clarify if specific dimensions are being assumed in the choices provided. Without that, we can't definitively determine the correct response among the given options of 13 m, 9 m, 5.10 m, or 9.22 m.
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