Question

the width of a rectangle measures (5v - 2w) centimeters, and its length measures (6v + 7w) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 10w + 22v 22v + 10 -2 + 14w + 22v 11v + 5

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Here, $l=(6v + 7w)$ and $w=(5v - 2w)$.

Step2: Substitute length and width into formula

$P=2((6v + 7w)+(5v - 2w))$.

Step3: Simplify the expression inside the parentheses

$(6v + 7w)+(5v - 2w)=6v+5v + 7w-2w=11v + 5w$.

Step4: Multiply by 2

$P = 2(11v + 5w)=22v+10w$.

Answer:

$10w + 22v$