Step 1: Write the formula for the area of a rectangle
[tex]\text{Area of a rectangle = Length }\times\text{ Width}[/tex]Ste 2: Given data
[tex]\begin{gathered} \text{Area of a rectangle = 6x}^2\text{ + 4x} \\ \text{Width = 2x} \\ \text{Length = ?} \end{gathered}[/tex]Step 3: Substitute the values in the area formula to find the length.
[tex]\begin{gathered} \text{Area of a rectangle = Length }\times\text{ Breadth} \\ Length\text{ of a rectangle = }\frac{Area\text{ of a rectangle}}{\text{Width}} \\ Length\text{ = }\frac{6x^2\text{ + 4x}}{2x} \\ \text{Length = }\frac{6x^2}{2x}\text{ + }\frac{4x}{2x} \\ \text{Length = 3x + 2} \end{gathered}[/tex]Step 4: Final answer
[tex]\text{Length = 3x + 2}[/tex]