Question

a triangle has side lengths of (q + r) centimeters, (5q - 10s) centimeters, and (5s - 7r) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer attempt 1 out of 2 -16rs + 11qs -2rs + 2qr - 5qs 6q - 6r - 5s 6q - 2s - 9r submit answer

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(q + r)+(5q - 10s)+(5s - 7r)$.

Step2: Remove parentheses

$P = q + r+5q - 10s+5s - 7r$.

Step3: Combine like - terms

Combine the $q$ terms: $q + 5q=6q$. Combine the $r$ terms: $r-7r=-6r$. Combine the $s$ terms: $-10s + 5s=-5s$. So $P = 6q-6r - 5s$.

Answer:

C. $6q - 6r - 5s$