Question

the width of a rectangle measures (7h + 3) centimeters, and its length measures (8h - 4) centimeters. which expression represents the perimeter, in centimeters, of the rectangle?
answer
10h + 4
-1 + 15h
20h + 8
30h - 2

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Here, $l=(8h - 4)$ and $w=(7h + 3)$.

Step2: Substitute values into formula

$P=2((8h - 4)+(7h + 3))$.

Step3: Simplify inside the parentheses

$(8h - 4)+(7h + 3)=8h+7h - 4 + 3=15h - 1$.

Step4: Multiply by 2

$P = 2(15h - 1)=30h-2$.

Answer:

$30h - 2$