I'm a given rectangle the shorter side is 2 units less than the longer side. If we let the longer side be represented as the variable x create an expression that represents the perimeter of the rectangle.

4 (x-1) units

Step-by-step explanation:

In a given rectangle, the length of the rectangle is the shorter side while its breadth is the longer side.

Since we have 2 lengths and 2 breadths in a rectangle, the perimeter of the rectangle will be 2L+2x where

L is the length (shorter side) and x is the breadth (longer side).

According to the question, the shorter side (L) is 2 units less than the longer side (x). Mathematically,

L = x-2

Substituting L = x-2 into the formula of perimeter of a rectangle we have,

P = 2 (x-2) + 2x

P = 2x-4+2x

P = 4x-4

P = 4 (x-1)

The perimeter of the rectangle will be 4 (x-1) units