Question

the width of a rectangle measures (s + 5t) centimeters, and its length measures (s + 2t) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 14t + 4s 7 + 2s 5 + 4s + 4t 14 + 4s

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.

Step2: Substitute length and width

Here, $l=(s + 2t)$ and $w=(s + 5t)$. So $P=2((s + 2t)+(s + 5t))$.

Step3: Simplify the expression inside parentheses

$(s + 2t)+(s + 5t)=s + s+2t + 5t=2s + 7t$.

Step4: Multiply by 2

$P = 2(2s + 7t)=4s+14t$.

Answer:

$14t + 4s$