Step-by-step explanation:
[tex]2x + 2(3x - 1) = 3(x + 1) \\ 2x + 6x - 2 = 3x + 3 \\ 8x - 2 = 3x + 3 \\ 8x - 3x = 3 + 2 \\ 5x = 5 \\ x = 1inch[/tex]
[tex]perimeter \: of \: rectangle \\ 2x + 2(3x - 1) \\ = 2(1) + 2(3(1) - 1) \\ = 2 + 2(2) \\ = 6 \: inches[/tex]
[tex]perimeter \: of \: \: triangle \\ 3(x + 1) \\ = 3(1 + 1) \\ = 3(2) \\ = 6 \: inches[/tex]
