Answer:
The given rectangle is not fully defined, as it is missing some measurements such as the length and width. Without this information, it is not possible to accurately calculate the perimeter of the rectangle.
However, assuming that the missing measurement is the width of the rectangle, then the expressions given by the five students would be:
2(3x + 4x + 3) = 14x + 6
2(6x + 6) + 2(4x + 6) = 20x + 24
2(3x + 3) + 2(4x + 3) = 14x + 12
2(6x + 3) + 2(4x + 3) = 20x + 12
2(6x + 3x) + 2(3 + 4x) = 18x + 10
Note that all expressions follow the formula for the perimeter of a rectangle, which is P = 2l + 2w, where l is the length and w is the width of the rectangle.