Question

the width of a rectangle measures (2.4s - 3.3t) centimeters, and its length measures (5.5s - 4.4t) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 15.8s - 15.4t 15.8s - 15.4 7.9s - 7.7 15.8s - 8.8t - 3.3

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width.

Step2: Substitute length and width

Given $w=(2.4s - 3.3t)$ and $l=(5.5s - 4.4t)$, substitute into the formula: $P = 2((5.5s - 4.4t)+(2.4s - 3.3t))$.

Step3: Simplify inside the parentheses

Combine like - terms inside the parentheses: $(5.5s+2.4s)+(-4.4t - 3.3t)=7.9s-7.7t$. So $P = 2(7.9s - 7.7t)$.

Step4: Distribute the 2

Multiply each term inside the parentheses by 2: $2\times7.9s-2\times7.7t = 15.8s-15.4t$.

Answer:

$15.8s - 15.4t$