A rectangle has width w and its length is 4 units longer than 2 times the width, or 2w + 4 . Write a polynomial for the area of the rectangle.
A(w)=w(2w+4)=2w^2+4w
To find the area of a rectangle, we need to multiply its width by its length. Given that the rectangle has a width w and a length of 2w + 4, the area can be calculated as follows:
Area = Width × Length
Substituting the given values, we have:
Area = w × (2w + 4)
To simplify this expression, we need to distribute the w to both terms inside the parentheses:
Area = 2w^2 + 4w
Therefore, the polynomial expression for the area of the rectangle is 2w^2 + 4w.