Answer :

Answer:

[tex]AD\text{ = 10}[/tex]

Explanation;

Here, we want to get the length of AD

From the information given:

[tex]AD\text{ = 2AB}[/tex]

Thus, mathematically:

[tex]\begin{gathered} 6x-8\text{ = 2\lparen x+2\rparen} \\ 6x-8\text{ = 2x + 4} \\ 6x-2x\text{ = 4+8} \\ 4x\text{ = 12} \\ x\text{ = }\frac{12}{4} \\ x\text{ = 3} \end{gathered}[/tex]

Now, we can get AD

We simply substitute for the value of x

We have that as:

[tex]\begin{gathered} AD\text{ = 6x-8} \\ AD\text{ = 6\lparen3\rparen -8} \\ AD\text{ = 10} \end{gathered}[/tex]