Question

23 fill in the blank 5 points the side lengths of a rectangle are (x + 5) meters and (2x - 1) meters. find the perimeter of the rectangle.

Explanation:

Step1: Recall perimeter formula

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

Step2: Substitute side - lengths

Let $l=(x + 5)$ and $w=(2x - 1)$. Then $P=2((x + 5)+(2x - 1))$.

Step3: Simplify the expression inside the parentheses

$(x + 5)+(2x - 1)=x+2x + 5 - 1=3x + 4$.

Step4: Multiply by 2

$P = 2(3x + 4)=6x+8$.

Answer:

$6x + 8$ meters