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

## Step 1The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the sides of the triangle are given by the expressions \( (8f+g) \), \( (4f-5h) \), and \( (9h+7g) \).## Step 2To find the perimeter, we add these expressions together:### \( (8f+g) + (4f-5h) + (9h+7g) \)## Step 3Next, we simplify this expression by combining like terms:### ## Step 4This simplifies to:###