Final answer:
To answer the student's question, geometric principles must be applied, but without more context or figures it's not possible to define the relationships between the areas A1, A2, and A3, or to describe the specific outcome for the fencing problem. Understanding of measurement, relief on maps, and correct spelling is necessary to solve such problems.
Step-by-step explanation:
The question at hand involves matching terms with their definitions and solving problems related to geometry and measurement. Let's address each part of the question individually.
Firstly, comparing areas A₁, A₂, and A3 in terms of size would require further context such as formulas or shapes to determine their relationships. Without additional information, it's impossible to accurately complete this matching.
When a farmer measures the sides of a four-sided plot of land, they use geometric principles to determine the length and orientation of side D. This is often done by considering the properties of shapes such as rectangles or parallelograms, to ensure the plot is a sensible shape for fencing.
In reference to a Venn Diagram, any area that is within the rectangle but outside both the circle and the oval represents elements that are part of the universal set but not within either of the two specified subsets. This could be represented by qualities or items that are in the general category but not part of the more specific groups described by the circle and oval.
In the context of a table, the entry could be specifying either the distance between the plates, the area, the length of a side, or both the area and the length of a side. These elements typically relate to measurements in physical or geometric contexts.
Regarding a map, the regional relief refers to the differences in elevation within a specific area, which can be inferred from contour lines. The steepness of a terrain can be discerned by the spacing of these lines, with closer lines indicating steeper terrain. Therefore, whether area A to B or B to C is steeper would be determined by examining the proximity of contour lines in each section.
Finally, choosing the word with the correct spelling involves literacy skills and may relate to any of the words from the table or others not listed, necessitating a dictionary for confirmation if uncertain.