Final answer:
The question pertains to the dilation of a rectangle in a geometry problem, where a scale factor is given and the new coordinates of the vertices need to be determined.
Step-by-step explanation:
The student seems to be asking a question related to a geometric transformation of a rectangle with vertices R(1,1), S(1,7), T(5,7), and U(5,1). They have stated a scale factor k=3/4, which suggests they are looking to perform a dilation. The question might involve finding the coordinates of the vertices after the transformation or understanding the effect of the transformation on the rectangle. However, there is some confusion due to the presence of other numerical values that seem unrelated to the primary question, and it's possible that the student has included additional context or additional exercises.