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4. write an expression to find the perimeter of the rectangle below: 2 …

Question

  1. write an expression to find the perimeter of the rectangle below: 2 - x 4x

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.

Step2: Identify length and width

Let $l=4x$ and $w = 2 - x$.

Step3: Substitute into formula

$P=2(4x+(2 - x))$.

Step4: Simplify the expression inside parentheses

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

Step5: Multiply by 2

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

Answer:

$6x + 4$