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

To find the length of the fence that Mia needs to divide her rectangular garden into two triangular areas, we need to calculate the length of the diagonal that divides the rectangle.

Given a rectangle with sides measuring 6m and 7m, we can use the Pythagorean theorem to find the length of the diagonal \(d\):

\[ d = \sqrt{(length)^2 + (width)^2} \] \[ d = \sqrt{(6m)^2 + (7m)^2} \] \[ d = \sqrt{36 + 49} \] \[ d = \sqrt{85} \]

Now we calculate \(\sqrt{85}\):

\[ \sqrt{85} \approx 9.22 \]

Therefore, the length of the fence she will need to divide the garden is approximately 9.22 m (rounded to the nearest hundredth).

So the correct response is: 9.22 m.