Question

given the rectangle to the right, express the perimeter as an algebraic expression containing the variable x. (2x - 1) feet 3x feet 3x feet (2x - 1) 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 $w = 2x - 1$.

Step2: Substitute values into formula

$P=2(3x+(2x - 1))$.

Step3: Simplify inside parentheses

$3x+(2x - 1)=3x + 2x-1=5x - 1$. So $P = 2(5x - 1)$.

Step4: Distribute the 2

$P=2\times5x-2\times1 = 10x-2$.

Answer:

$10x - 2$