Question

a triangle has side lengths of (4f + 2) centimeters, (7f + 7) centimeters, and (g + 2) centimeters. which expression represents the perimeter, in centimeters, of the triangle?
answer
6f + 14 + 3g
3g + 20f
11f + 9 + 3g
g + 11f + 11
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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 $P=(4f + 2)+(7f + 7)+(g + 2)$.

Step2: Combine like - terms

Combine the terms with $f$: $4f+7f = 11f$. Combine the constant terms: $2 + 7+2=11$. The $g$ term remains as it is. So $P = g+11f + 11$.

Answer:

$g + 11f+11$ (corresponding to the last option)