Question

The area of a rectangular computer screen is 4x^2+20x+16. The width of the screen is 2x+8. What is the length of the screen?

Answer 1

So the area of a rectangle is Length x Width. 
A = (L)(W)
Substitute the information given:
4x^2 + 20x + 16 = (L)(2x+8)
Isolate L by dividing 2x+8:
(4x^2 + 20x +16)/ (2x + 8) = L
If you divide: 
L = 2x + 2.

Answer 2

The length of the screen will be x+2

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A = length * width

Given the area of the rectangle is:

A = 4x^2+20x+16

Factorise to have:

A = 4x^2 + 4x + 16x + 16

A = 2x(x+2)+8(2x+2)

A = (2x+8)(x+2)

Hence the length of the screen will be x+2

Learn more on area of rectangles here: https://brainly.com/question/25292087