Given:
The perimeter of a polygon is the sum of the lengths of the sides of the polygon.
Given that the sides of the polygon are x + 1, 3x - 2, 3x - 2, x + 1.
We need to determine the perimeter of the polygon.
Perimeter of the polygon:
The perimeter of the polygon can be determined by adding the lengths of the sides of the polygon.
Thus, we have;
[tex]Perimeter=(x+1)+(3x-2)+(3x-2)+(x+1)[/tex]
Removing the parenthesis, we get;
[tex]Perimeter=x+1+3x-2+3x-2+x+1[/tex]
Adding the like terms, we get;
[tex]Perimeter=8x-2[/tex]
Thus, the perimeter of the polygon is [tex]8x-2[/tex]