Question

the width of a rectangle measures (9s + 6) centimeters, and its length measures (s + 1) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 15s + 2 7 + 10s 14 + 20s 4 + 30s

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, $w=(9s + 6)$ and $l=(s + 1)$.

Step2: Substitute values into formula

$P=2((s + 1)+(9s + 6))$.

Step3: Simplify inside the parentheses

$(s + 1)+(9s + 6)=s+9s + 1 + 6=10s+7$.

Step4: Multiply by 2

$P = 2(10s + 7)=2\times10s+2\times7 = 20s+14$.

Answer:

$14 + 20s$