To find the perimeter of the triangle with side lengths 2x, 2x + 3, and 4x - 2, you simply add the lengths of all three sides:
Perimeter = 2x + (2x + 3) + (4x - 2)
Now, combine like terms:
Perimeter = 2x + 2x + 3 + 4x - 2
Combine the x terms:
Perimeter = 8x + 1
So, the expression 8x + 1 represents the perimeter of the triangle in its simplest form.
