Question

a triangle has side lengths of (8f + g) centimeters, (4f - 5h) centimeters, and (9h + 7g) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer 2h + 10g + 12f -fh + 9fg + 16gh 8g + 12f + 4h 21fh + 3gh

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(8f + g)+(4f - 5h)+(9h + 7g)$.

Step2: Remove parentheses

$P = 8f+g + 4f-5h+9h + 7g$.

Step3: Combine like - terms

For the $f$ terms: $8f+4f = 12f$. For the $g$ terms: $g + 7g=8g$. For the $h$ terms: $-5h+9h = 4h$. So $P=8g + 12f+4h$.

Answer:

$8g + 12f+4h$