Mr. Torrey draws and labels a figure, as shown below. He asks a group of students to each write an expression that is equivalent to the perimeter of the figure in terms of the given

side lengths.

The students’ expressions are shown below.

Brian: 8(2r + s)

Marissa: 2(4r) + 2(4s)

Clara: 2(5r + 3r) + 4(2s)

Alex: 24 × r × s

Part A

Which expressions are equivalent to the perimeter of the figure? List all of the correct

expressions. Show how you know the correct expressions are equivalent to each other.

Part B

Hanif says that 2(4s) + 4(3r) is also equivalent to the perimeter of the figure.

Is Hanif correct? Justify your answer by substituting values for r and s.

Respond in the space provided.