Question

the width of a rectangle measures (3u + 4v) centimeters, and its length measures (8u + 2v) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 12v + 22u 4v + 4 + 22u 22u + 12 6 + 11u

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, $l=(8u + 2v)$ and $w=(3u + 4v)$.

Step2: Substitute values into formula

$P=2((8u + 2v)+(3u + 4v))$.

Step3: Simplify inside parentheses

$(8u + 2v)+(3u + 4v)=(8u+3u)+(2v + 4v)=11u + 6v$.

Step4: Multiply by 2

$P = 2(11u + 6v)=22u+12v$.

Answer:

$12v + 22u$