Question

1. find the perimeter of this rectangle, and show your work. x + 3y - 1 5x - 2y

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is given by $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Here, $l=5x - 2y$ and $w=x + 3y-1$.

Step2: Substitute into formula

$P=2((5x - 2y)+(x + 3y-1))$.

Step3: Simplify inside parentheses

First, combine like - terms inside the parentheses: $(5x - 2y)+(x + 3y-1)=(5x+x)+(-2y + 3y)-1=6x + y-1$.

Step4: Multiply by 2

$P = 2(6x + y-1)=12x+2y - 2$.

Answer:

$12x + 2y-2$