Question

A rectangle has a length of 5x+2 and a width of 3x-1. Write an Expression for the perimeter of the rectangle

Answer 1

16x+6

Explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer 2

16x + 2

Explanation:

`\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}}`

Given expressions:

• 
  `\textsf{Length} = 5x + 2`
• 
  `\textsf{Width} = 3x - 1`

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

`\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}`