The perimeter of a figure is the sum of its side lengths. This gives us the following formula for the perimeter of our triangle.
( x-2) + ( 2x+3) + ( 4x+2)
Let's simplify this expression.
& x-2
&+ 2x+3
&+ 4x+2
& 7x + 3
The simplified expression for the perimeter of a triangle is 7x+3. Therefore, answer D is correct.