Question

the width of a rectangle measures (9r + 4s) centimeters, and its length measures (4r + 8s) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 24 + 26r 26r + 24s 16s + 26r + 4 12 + 13r

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, $w=(9r + 4s)$ and $l=(4r + 8s)$.

Step2: Substitute values into formula

$P=2((4r + 8s)+(9r + 4s))$.

Step3: Simplify inside the parentheses

$(4r + 8s)+(9r + 4s)=(4r+9r)+(8s + 4s)=13r + 12s$.

Step4: Multiply by 2

$P = 2(13r + 12s)=26r+24s$.

Answer:

$26r + 24s$