Answer:
The width of the rectangle is x+2 and the length is x+4
Step-by-step explanation:
Area of a Rectangle
Given a rectangle of width W and length L, the area is calculated by:
A = WL
It's given the area of a rectangle as:
[tex]A = x^2+6x+8[/tex]
We need to express the area as the product of two factors and assign each factor as the width and the length.
Factoring
[tex]x^2+6x+8 = (x+2)(x+4)[/tex]
Substituting:
A = (x+2)(x+4)
It means the width of the rectangle is x+2 and the length is x+4
The built rectangle is shown below