Question

the width of a rectangle measures (7r - 2s) centimeters, and its length measures (r - 5s) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer -14 + 16r 16r - 14s -7 + 8r -2 - 10s + 16r

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is length and $w$ is width. Here, $w=(7r - 2s)$ and $l=(r - 5s)$.

Step2: Substitute values into formula

$P=2((r - 5s)+(7r - 2s))$.

Step3: Simplify inside parentheses

First, combine like - terms inside the parentheses: $(r - 5s)+(7r - 2s)=(r + 7r)+(-5s-2s)=8r-7s$.

Step4: Multiply by 2

$P = 2(8r-7s)=16r - 14s$.

Answer:

$16r - 14s$