Question

a triangle has side lengths of (6v + 3) centimeters, (2v + 5) centimeters, and (8w + 5) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer 9v + 7 + 13w 8w + 8v + 13 8v + 8 + 13w 16v + 13w

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of its side - lengths. So $P=(6v + 3)+(2v + 5)+(8w + 5)$.

Step2: Combine like - terms

Combine the $v$ terms: $6v+2v = 8v$.
Combine the constant terms: $3 + 5+5=13$.
The $w$ term remains as $8w$.
So $P = 8w+8v + 13$.

Answer:

$8w + 8v+13$ (the second option)