Question

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

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

Step2: Substitute values into formula

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

Step3: Simplify the expression inside parentheses

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

Step4: Multiply by 2

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

Answer:

$4y - 4$