Let's begin by listing out the information given to us:
Length = 2(3x + 7) - 5 = 6x + 14 - 5 = (6x + 9) inches
Width = (x - 1) inches
The perimeter of a rectangle is given by:
[tex]\begin{gathered} Perimeter=2(Length+Width) \\ P=2(l+w)\Rightarrow2\lbrack(6x+9)+(x-1)\rbrack \\ P=12x+18+2x-2 \\ We\text{ put like terms together, we have:} \\ P=12x+2x+18-2=14x+16 \\ P=14x+16 \end{gathered}[/tex]
Therefore, option B is the correct answer
