(i1i) The factor by which the aneas are increased by the transformation

To solve this problem, we need to understand the context and the specific transformation being referred to. The term "aneas" is not a standard term in mathematics or physics, so I will assume it refers to "areas" or "volumes" based on the context of the problem. If we are dealing with a geometric transformation, such as scaling, rotation, or translation, we can determine the factor by which the areas or volumes are increased by the transformation. Let's consider a few common transformations: 1. Scaling: If a shape is scaled by a factor of k, the area of the shape will be increased by a factor of k^2. This is because area is a two-dimensional measure, and when you scale a shape, both its length and width are increased by the same factor. 2. Rotation: Rotating a shape does not change its area or volume, so the factor by which the areas are increased would be 1. 3. Translation: Translating a shape also does not change its area or volume, so the factor by which the areas are increased would also be 1. Without more specific information about the transformation, I'll assume you are referring to scaling. If that's the case, please provide the scaling factor (k), and I can calculate the factor by which the areas are increased. For example, if the scaling factor is k = 2, then the factor by which the areas are increased would be k^2 = 2^2 = 4. If you have a different transformation in mind or additional information, please provide it so I can give you a more accurate answer.