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5) write an algebraic expression to represent the perimeter of the rect…

Question

  1. write an algebraic expression to represent the perimeter of the rectangle below. simplify the algebraic expression. 6 4x - 3

Explanation:

Step1: Recall rectangle perimeter formula

The perimeter $P$ of a rectangle is $P = 2(\text{length} + \text{width})$. Here, length = $4x-3$, width = $6$.

Step2: Substitute values into formula

$P = 2[(4x - 3) + 6]$

Step3: Simplify inside parentheses

$P = 2(4x + 3)$

Step4: Distribute the 2

$P = 8x + 6$

Answer:

$8x + 6$