Final answer:
This question involves applying geometry and vector addition principles to determine the length and orientation of missing sides in plots of land. The calculations for the four-sided and triangular plots would involve different approaches based on the given side lengths and possibly other geometric information.
Step-by-step explanation:
The subject of this question is Mathematics, specifically related to geometry and vectors. Based on the provided context, the task involves calculating the length and orientation of a side of a plot of land, given the lengths and orientations of the other sides.
For the four-sided plot mentioned in the first two references, one needs to use geometric principles, possibly including the use of vectors, to determine the length and orientation of the fourth side, 'D'. To calculate this, one might need additional information about angles or other lengths that are not provided in the question.
For the triangular plot mentioned in the next three references, similar principles apply but since there are only three sides, the calculation might involve vector addition where the length and orientation of side 'C' is the vector needed to close the triangle, ensuring that the sum of displacement vectors A, B, and C equals zero.