Question

a triangle has side lengths of (5m - 2n) centimeters, (7m + 10p) centimeters, and (8p - 9n) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer 18p + 12m - 11n 6n + 12m + p -np + 17mp + 3mn 20mp - np submit answer

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(5m - 2n)+(7m + 10p)+(8p - 9n)$.

Step2: Remove parentheses

$P = 5m-2n + 7m+10p+8p - 9n$.

Step3: Combine like - terms

For the $m$ terms: $5m+7m = 12m$. For the $n$ terms: $-2n-9n=-11n$. For the $p$ terms: $10p + 8p=18p$. So $P=18p + 12m-11n$.

Answer:

$18p + 12m-11n$