In this case we have the following expression:
[tex]6x^2+10[/tex]
We know that Karen was trying to factor out this and she found that the greatest common factor of these terms was 2, in other words we can write this expression as:
[tex]2(3x^2+5)[/tex]
An area model for this expression could be the area of a rectangle that has the following dimensions:
[tex]W=2 \\ \\ L=3x^2+5 \\ \\ \\ Where: \\ \\ W:width \\ \\ L:length[/tex]
So the area model can be written as:
[tex]A=W\times L \\ \\ \boxed{A=2(3x^2+5)}[/tex]
