Answer:
[tex]\text{Perimeter} = \boxed{12x - 10}[/tex]
Step-by-step explanation:
As stated in the question, the perimeter is the sum of all sides of the shape. Therefore, the equation that represents the perimeter is:
[tex]\implies \text{Perimeter} = (x) + (2x + 5 )+ (6x - 17) +( 3x + 2)[/tex]
To simplify the expression on the R.H.S, let's open the parentheses:
[tex]\implies \text{Perimeter} = (x) + (2x + 5 )+ (6x - 17) +( 3x + 2)[/tex]
[tex]\implies \text{Perimeter} = x + 2x + 5 + 6x - 17 +3x + 2[/tex]
Now, combine like terms and simplify:
[tex]\implies \text{Perimeter} = (x + 2x + 6x + 3x) + 5 - 17 + 2[/tex]
[tex]\implies \text{Perimeter} = (12x) - 10[/tex]
Finally, open the parentheses as further simplification is not possible.
[tex]\implies \text{Perimeter} = (12x) - 10[/tex]
[tex]\implies \text{Perimeter} = \boxed{12x - 10}[/tex]
Learn more about perimeter of an irregular shape:
⇒ https://brainly.com/question/15218932
