Question

a triangle has side lengths of (7m - 2) centimeters, (9m - 5) centimeters, and (6n - 1) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer attempt 1 out of 2 5n - 7 + 16m 9m + 5n 5m + 5n + 4 16m + 6n - 8

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle with side - lengths $a$, $b$, and $c$ is $P=a + b + c$. Here, $a=(7m - 2)$, $b=(9m - 5)$, and $c=(6n - 1)$.

Step2: Substitute side - lengths

$P=(7m - 2)+(9m - 5)+(6n - 1)$.

Step3: Remove parentheses

$P = 7m-2 + 9m-5 + 6n-1$.

Step4: Combine like - terms

Combine the $m$ terms: $7m+9m = 16m$. Combine the constant terms: $-2-5 - 1=-8$. The $n$ term remains as $6n$. So $P = 16m+6n - 8$.

Answer:

D. $16m + 6n - 8$