The perimeter of the triangle with side lengths (4f+2), (7f+7), and (g+2) is represented by the expression 11f + 11 + g (option C).
What is the perimeter of a rectangle?
To find the perimeter of the given triangle, we have to sum up all the three side lengths of the triangle. Given side lengths of the triangle:
Side 1: (4f + 2) centimeters
Side 2: (7f + 7) centimeters
Side 3: (g + 2) centimeters
The perimeter (P) is the sum of these three side lengths:
P = (4f + 2) + (7f + 7) + (g + 2)
Combine like terms:
P = 11f + 11 + g
So, the expression representing the perimeter is 11f + 11 + g.
Therefore, the correct answer is c. 11f + 11 + g.