We know that the perimeter of a rectangle can be represented by the expression 2l +2w, where l represents the length of the rectangle and w represents the width of the rectangle.
If we substitute in the values given in this problem, we get the expression: 2(2x+6) + 2(x)
Another equivalent expression we can use to express the perimeter is w + w + l + l.
If we substitute in the values given in this problem into this expression, we get:
x + x + 2x + 6 + 2x + 6
Overall, we know that these expressions are equivalent and represent the same value (the perimeter of the rectangle), because if you combine like terms, both expressions simplify to 6x + 12.
