Karen was trying to factor 6x^2+106x

2

+106, x, squared, plus, 10. She found that the greatest common factor of these terms was 222 and made an area model:

What is the width of Karen's area model?

Here we know that Karen was trying to factor the following expression:

And we want to find the width of Karen's area model, so we can say that that expression represents the area of a rectangle, so if we name (A) as this area, then:

Recall that the area of a rectangle is defined as:

So we can say:

Finally, the width is:

pi x^2

step-by-step explanation:

pi times x squared