Answer:
16x + 2
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}[/tex]
Given expressions:
- [tex]\textsf{Length} = 5x + 2[/tex]
- [tex]\textsf{Width} = 3x - 1[/tex]
To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:
[tex]\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}[/tex]
