Question

the width of a rectangle measures $(k + 3)$ centimeters, and its length measures $(k - 9)$ centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer $-8 + 4k$ $8k - 16$ $2k - 6$ $-12 + 4k$ submit answer

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The formula for the perimeter \(P\) of a rectangle is \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width.
Given \(w=(k + 3)\) and \(l=(k - 9)\).

Step2: Substitute the values of length and width into the formula

$$
LATEXBLOCK0
$$

Step3: Simplify the expression inside the parentheses

Combine like - terms: \(k + k-9 + 3=2k-6\)
So, \(P = 2(2k - 6)\)

Step4: Distribute the 2

$$
LATEXBLOCK1
$$

Answer:

\(-12 + 4k\)