Question

question: the width of a rectangle measures (3u - 4v) centimeters, and its length measures (10u + 2v) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer: -4 + 26u + 4v, 26u - 4v, 13u - 2, 26u - 4

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, $l=(10u + 2v)$ and $w=(3u - 4v)$.

Step2: Substitute values into formula

$P=2((10u + 2v)+(3u - 4v))$.

Step3: Simplify inside parentheses

$P = 2(10u+3u + 2v-4v)=2(13u - 2v)$.

Step4: Distribute the 2

$P=26u-4v$.

Answer:

$26u - 4v$