Final answer:
The length of the rectangle is 7 units, and the width is 8 units, derived from the coordinates given and the perimeter formula for a rectangle. The correct dimensions do not align with any of the provided options, indicating a possible error in the choices.
Step-by-step explanation:
The upper-left coordinates of the rectangle are (-6, 6), and the upper-right coordinates are (1, 6). The length of the rectangle can be found by calculating the distance between these two points. The length is the difference in the x-coordinates, which is 1 - (-6) = 7 units.
Given that the perimeter of the rectangle is 30 units, we can use the perimeter formula for rectangles, P = 2l + 2w, where l is the length and w is the width. Substituting the known perimeter and length values, we have 30 = 2(7) + 2w.
From this equation, we can solve for the width: 30 = 14 + 2w, therefore 2w = 30 - 14, which simplifies to 2w = 16. Dividing both sides by 2, we find that w = 8 units.
Thus, the dimensions of the rectangle are length = 7 units and width = 8 units, which corresponds to choice (c) Length = 6, Width = 9, if we consider the length to be the longer side of the rectangle. There appears to be an error in the choices provided, as our calculation yields a different set of dimensions closer to option (d), but with an accurate width of 8 units.