Mia plans to build a fence to divide her rectangular garden into two traingular areas. Find the length of the fence she will need to divide the garden. Round your answer to the nearest hundredth.

Mia plans to divide her rectangular garden into two triangular areas. Given the dimensions of the garden are 6 meters and 7 meters, we can infer that the fence will likely be drawn from one corner of the rectangle to the opposite corner, effectively creating two right triangles.

To find the length of the diagonal fence that divides the rectangle, we can use the Pythagorean theorem. The formula is:

\[
c = \sqrt{a^2 + b^2}
\]

where:
- \( a = 6 \) m (one side of the rectangle),
- \( b = 7 \) m (the other side of the rectangle),
- \( c \) is the length of the diagonal (the length of the fence needed).

Substituting in the values:

\[
c = \sqrt{6^2 + 7^2} = \sqrt{36 + 49} = \sqrt{85}
\]

Calculating \( \sqrt{85} \):

\[
\sqrt{85} \approx 9.219544457
\]

Rounding to the nearest hundredth gives:

\[
c \approx 9.22 \text{ m}
\]

Therefore, the length of the fence Mia will need is approximately **9.22 m**, which corresponds to option B.