Answer:
[tex]A=2w^2-16w[/tex]
Step-by-step explanation:
Area of a Rectangle
Given the width x and the height y of a rectangle, the area can be computed as
[tex]A=x.y[/tex]
The rectangle described in the problems has dimensions (2w) and (w-8). Regardless of their meaning (width or height), the area of the rectangle is
[tex]A=(2w)(w-8)[/tex]
Operating the product (distributive property)
[tex]A=(2w)(w)-(2w)(8)[/tex]
Simplifying
[tex]A=2w^2-16w[/tex]
The area of the rectangle is expressed as a function of w (unknown) as
[tex]\boxec{A=2w^2-16w}[/tex]
