Averi was trying to factor 4x2 + 20x - 16. She found
that the greatest common factor of these terms was 4
and made an area model:


What is the width of Averi's area model?​

Respuesta :

Answer:

The width will be [tex]x^{2} +5x-4[/tex]

Step-by-step explanation:

Thinking process:

Let the model be:

[tex]4x^{2} +20x-16[/tex]

factoring out 4 gives:

[tex]4(x^{2} +5x-4)[/tex]

Factorizing the expression in the parentheses gives:

[tex]4(x^{2} +5x-4)[/tex]

Therefore, since the expression in the parentheses cannot be factorized further, the expression is:

[tex]length = 4 units\\width = x^{2} +5x-4[/tex]

The width of the area model is x^2 + 5x - 4

How to determine the width?

The area model is given as:

Area = 4x^2 + 20x - 16

Factor out 4 from the expression

Area = 4(x^2 + 5x - 4)

Express as product

Area = 4 * (x^2 + 5x - 4)

4 represents the length.

So, the width of the area model is x^2 + 5x - 4

Read more about areas at:

https://brainly.com/question/24487155