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? 6f+14+3g 3g+20f 11f+9+3g g+11f

Answer 1

The expression that represents the perimeter of the triangle is 4f+2 + 7f+7 + g+2. Simplifying further, the perimeter is 11f+g+11.

Step-by-step explanation:

The expression that represents the perimeter of the triangle is (4f+2) + (7f+7) + (g+2). To find the perimeter, we need to add up the lengths of all three sides of the triangle. So, the perimeter is 4f+2 + 7f+7 + g+2. Combining like terms, we get 11f+9+g+2. Simplifying further, the perimeter is 11f+g+11.

Answer 2

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.