Question

1. find an expression, in its simplest form, for the perimeter of this rectangle. 2y - 3 5y + 1

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, $l=4y + 1$ and $w = 2y-3$.

Step2: Substitute values into formula

$P=2((4y + 1)+(2y - 3))$.

Step3: Simplify inside the parentheses

$(4y + 1)+(2y - 3)=4y+1 + 2y-3=6y - 2$.

Step4: Multiply by 2

$P = 2(6y - 2)=12y-4$.

Answer:

$12y - 4$