Question

given the rectangle to the right, express the perimeter as an algebraic expression containing the variable x. (2x - 4) feet 3x feet 3x feet (2x - 4) feet the perimeter is (simplify your answer.)

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, $l=3x$ and $w = 2x - 4$.

Step2: Substitute values into formula

$P=2(3x+(2x - 4))$.

Step3: Simplify inside parentheses

$3x+(2x - 4)=3x + 2x-4=5x - 4$. So, $P = 2(5x - 4)$.

Step4: Distribute the 2

$P=2\times5x-2\times4 = 10x-8$.

Answer:

$10x - 8$