Question

1. a rectangles length is x and its width is 4. if the perimeter is 20, write and solve a two - step equation to find the length.

Explanation:

Step1: Write the perimeter formula

The perimeter formula for a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width. Given \(P = 20\), \(l=x\), and \(w = 4\), the equation is \(20=2(x + 4)\).

Step2: Solve the equation

First, divide both sides of the equation \(20 = 2(x + 4)\) by \(2\): \(\frac{20}{2}=\frac{2(x + 4)}{2}\), which simplifies to \(10=x + 4\). Then, subtract \(4\) from both sides: \(10-4=x+4 - 4\), so \(x = 6\).

Answer:

The two - step equation is \(20 = 2(x + 4)\) and the length \(x\) is \(6\).