Question

question: 8 what is the perimeter of the figure shown below, which is not drawn to scale? a. 30x b. 8x + 24 c. 6x + 24 d. 4x + 28

Explanation:

Step1: Recall perimeter formula

The perimeter \(P\) of a rectangle is \(P = 2l+2w\), where \(l\) is the length and \(w\) is the width. Here, \(l=x + 12\) and \(w = 2x\).

Step2: Substitute values into formula

\(P=2(x + 12)+2(2x)\)

Step3: Expand expressions

\[

$$\begin{align*} P&=(2x+24)+4x\\ &=2x + 4x+24 \end{align*}$$

\]

Step4: Combine like - terms

\(P = 6x+24\)

Answer:

C. \(6x + 24\)