Question

the width of a rectangle measures (4v + 3w) centimeters, and its length measures (6v - 6w) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 20v + 3 - 12w -6w + 20v 20v - 6 -3 + 10v

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, $l=(6v - 6w)$ and $w=(4v + 3w)$.

Step2: Substitute values into formula

$P=2((6v - 6w)+(4v + 3w))$.

Step3: Simplify inside the parentheses

$(6v - 6w)+(4v + 3w)=6v+4v-6w + 3w=10v-3w$.

Step4: Multiply by 2

$P = 2(10v-3w)=20v-6w=-6w + 20v$.

Answer:

$-6w + 20v$