Question

a triangle has side lengths of (r - 10s) centimeters, (3r + 2t) centimeters, and (2t - 6s) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer -8s + 4r - 4t -14st + 6rt 4r + 4t - 16s 5rt - 9rs - 4st submit answer

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(r - 10s)+(3r + 2t)+(2t-6s)$.

Step2: Remove parentheses

$P=r - 10s+3r + 2t+2t-6s$.

Step3: Combine like - terms

Combine the $r$ terms: $r + 3r=4r$. Combine the $s$ terms: $-10s-6s=-16s$. Combine the $t$ terms: $2t + 2t = 4t$. So $P=4r + 4t-16s$.

Answer:

$4r + 4t - 16s$