Question

use the rectangle shown to answer the question.
what is the perimeter of the rectangle?
5x + 2
10x + 4
4x² + 17x - 15
4x² + 23x - 15

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter formula for a rectangle is \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width. Here, \(l=4x - 3\) and \(w=x + 5\).

Step2: Substitute the length and width into the formula

$$
LATEXBLOCK0
$$

Step3: Combine like - terms inside the parentheses

$$
LATEXBLOCK1
$$

Step4: Distribute the 2

$$
LATEXBLOCK2
$$

Answer:

\(10x + 4\) (the second option)