Question

If a rectangular is (2w) and (w-8). Set up and simplify an expression to find the area of the rectangle

Answer 1

`A=2w^2-16w`

Explanation:

Area of a Rectangle

Given the width x and the height y of a rectangle, the area can be computed as

`A=x.y`

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

`A=(2w)(w-8)`

Operating the product (distributive property)

`A=(2w)(w)-(2w)(8)`

Simplifying

`A=2w^2-16w`

The area of the rectangle is expressed as a function of w (unknown) as

`\boxec{A=2w^2-16w}`