Solution:
Given that,
Yun was trying to factor:
[tex]7x^2-14x[/tex]
He found that the greatest common factor of these terms was 7x and made an area model
To find: width of area model
From given,
[tex]7x^2-14x[/tex]
Factor out 7x
[tex]7x(x-2)[/tex]
The area is given as:
[tex]Area = length \times width[/tex]
On comparing, [tex]7x(x-2)[/tex] with above formula, we can say,
[tex]length = 7x\\\\width = x-2\\\\Or\\\\length = x - 2\\\\width = 7x[/tex]
Thus the width is x - 2 or 7x units