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 needed to divide the garden, we need to know the layout of the garden based on the provided dimensions (6m and 7m). Assuming the garden is rectangular, we can visualize it as a rectangle where one side measures 6m and the other side measures 7m.

To divide the garden, you would typically run a fence parallel to one of the sides, either the 6m or the 7m side. If we divide it lengthwise (parallel to the 7m side), the length of the fence needed will be equal to the length of the shorter side, which is 6m.

However, if we divide it the other way (parallel to the 6m side), the length of the fence will be equal to the length of the longer side, which is 7m.

Since the problem doesn't specify how the garden should be divided, we're looking for the simplest answer: the total length of the dividing fence will be the same as the shorter side when divided down the middle.

That means if the fence is run from one side to the other, perpendicular to one side, it would be 6m.

The options given were:

A. 9m
B. 9.22m
C. 5.10m
D. 13m

However, the closest answer appears to not match with our calculation directly but if we consider this also in terms of possible diagonal cuts or calculating into potential angles (though none seem to fit with just the provided values), but since only 6m and 7m were provided with no angle other than standard division lines, we would conclude that the simplest answer is that the fence needed to divide the garden would be 6m.

However, since none of the options matches that length, could you please clarify the intended manner of dividing the garden? This could specify either diagonally or provide information about layout allowing it to adjust towards perhaps approximations.