Mathematics, 08.04.2021 16:50 QueensQueens
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. Clockwise from the top, the figure reads, 5 r, 2 s, 3 r, 2 s, 5 r, 2 s, 3 r, 2 s. The students’ expressions are shown below. Brian: 8 times open paren 2 r plus s close paren $8\left(2r\ +\ s\right)$ Marissa: 2 times open paren 4 r close paren plus 2 times open paren 4 s close paren $2\left(4r\right)\ +\ 2\left(4s\right)$ Clara: 2 times open paren 5 r plus 3 r close paren plus 4 times open paren 2 s close paren $2\left(5r\ +\ 3r\right)\ +\ 4\left(2s\right)$ Alex: 24 times r times s $24\ \times\ r\ \times\ s$ 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. Respond in the space provided. Question 2 Part B Hanif says that 2 times open paren 4 s close paren plus 4 times open paren 4 r close paren $2\left(4s\right)\ +\ 4\left(3r\right)$ is also equivalent to the perimeter of the figure. Is Hanif correct? Justify your answer by substituting values for r $r$ and s $s$ . Respond in the space provided.
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Mr. Torrey draws and labels a figure, as shown below. He asks a group of students to each write an e...
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