Question

1. write an expression to find the perimeter of the rectangle below. 6x 3x - 5

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.

Step2: Identify the length and width

Here, the length \(l = 6x\) and the width \(w=3x - 5\).

Step3: Substitute into the formula

Substitute \(l = 6x\) and \(w = 3x-5\) into \(P = 2(l + w)\), we get \(P=2(6x+(3x - 5))\).

Step4: Simplify the expression

First, simplify inside the parentheses: \(6x+(3x - 5)=6x + 3x-5=9x - 5\). Then, multiply by 2: \(P = 2(9x - 5)=18x-10\).

Answer:

The expression for the perimeter of the rectangle is \(18x - 10\).