Question

1. rectangle jklm has a length of 7x - 3 and width of 2x + 5. which expression can be used to represent the perimeter of rectangle jklm? 9x + 2 18x + 4 9x + 8 18x + 16

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is length and $w$ is width. Here, $l=7x - 3$ and $w = 2x+5$.

Step2: Substitute length and width

$P=2((7x - 3)+(2x + 5))$.

Step3: Simplify inside parentheses

$(7x - 3)+(2x + 5)=7x+2x-3 + 5=9x + 2$.

Step4: Multiply by 2

$P=2(9x + 2)=18x+4$.

Answer:

$18x + 4$