Question

the perimeter of the triangle is.

Explanation:

Step1: Recall perimeter formula

Perimeter of a triangle $P=a + b + c$, where $a,b,c$ are side - lengths.

Step2: Identify side - lengths

Here, $a=x + 2$, $b=2x-1$, $c = 2x$.

Step3: Calculate perimeter

$P=(x + 2)+(2x-1)+2x$.

Step4: Combine like terms

$P=(x+2x + 2x)+(2 - 1)=5x + 1$.

Answer:

$5x + 1$