Question

question 22 (4 points)
listen
which expression represents the perimeter of the rectangle below?
8x - 43
5x + 12
13x - 31
26x - 62
26x - 124
13x - 44

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Here $l=8x - 43$ and $w = 5x+12$.

Step2: Substitute values into formula

$P=2((8x - 43)+(5x + 12))$.

Step3: Simplify inside parentheses

$(8x - 43)+(5x + 12)=8x+5x-43 + 12=13x-31$.

Step4: Multiply by 2

$P = 2(13x-31)=26x-62$.

Answer:

$26x - 62$ (the second option)