Question

What is the width of Averi's area model? (See picture)

Answer 1

Width = x² + 5x - 4

Explanation:

By the definition of an area model,

Area = Width × greatest common factor

Since, Area = 4x² + 20x - 16

And greatest common factor = 4

4x² + 20x - 16 = 4(Width)

By dividing both the sides of the equation by 4,

`(4x^2+20x-16)/(4)=\frac{4(\text{Width})}{4}`

x² + 5x - 4 = Width

Therefore, width = (x² + 5x - 4) will be he answer.