To find the length of the fence that Mia needs, we can use the Pythagorean theorem. The garden is being divided into two triangular areas, which likely means that we have a right triangle based on the given dimensions.
Let's assume Mia's garden is a right triangle with legs measuring 6m and 7m.
According to the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \]
Where:
- \(c\) is the hypotenuse (the length of the fence),
- \(a\) and \(b\) are the legs of the right triangle.
Substituting the values:
\[ c = \sqrt{6^2 + 7^2} \]
Calculating the squares:
\[ c = \sqrt{36 + 49} \] \[ c = \sqrt{85} \]
Now, compute the square root:
\[ c \approx 9.22 \text{ m} \]
Thus, the length of the fence Mia will need is approximately \(9.22 m\).
So the correct response is:
9.22 m
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