Final answer:
The width of Eliott's area model is 6.
Step-by-step explanation:
Eliott was trying to factor 6x^2 – 18. He found that the greatest common factor of these terms was 6. To find the width of Eliott's area model, we need to understand what an area model is. In this case, we can represent the expression 6x^2 – 18 as a rectangle with length 6x and width w. The width of Eliott's area model would be the term that represents the greatest common factor, which is 6.