Answer: The perimeter of a rectangle is the sum of the lengths of its four sides which is given by the expression: P = 2l + 2w (where l is the length and w is the width)
The expression that does not show this relationship is P = l + w
It doesn't show the relationship because it doesn't take into account the two sides that are equal to the width and the two sides that are equal to the length.
P = 2l + 2w shows the relationship as it considers both length and width of the rectangle twice, once for each pair of sides.
Explanation: