Question

1. find an expression, in its simplest form, for the perimeter of the triangle.

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. If the side - lengths are $x + 3$, $x+2$, and $x$, then $P=(x + 3)+(x + 2)+x$.

Step2: Combine like - terms

First, remove the parentheses: $P=x + 3+x + 2+x$. Then, combine the $x$ terms and the constant terms. The sum of the $x$ terms is $x+x+x = 3x$, and the sum of the constant terms is $3 + 2=5$. So, $P=3x + 5$.

Answer:

$3x + 5$