Question

a triangle has side lengths of (5h - 4k) centimeters, (10h + 7m) centimeters, and (5m - 2k) centimeters. which expression represents the perimeter, in centimeters, of the triangle?
answer
km + 20hm
17hm + 3km + hk
15h - 6k + 12m
5m + 15h + k
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Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(5h - 4k)+(10h + 7m)+(5m - 2k)$.

Step2: Remove parentheses

$P = 5h-4k + 10h+7m+5m - 2k$.

Step3: Combine like - terms

For the $h$ terms: $5h+10h = 15h$.
For the $k$ terms: $-4k-2k=-6k$.
For the $m$ terms: $7m + 5m=12m$.
So $P=15h - 6k+12m$.

Answer:

$15h - 6k + 12m$