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.
P(w)=w(2w+4) =2w^2+4w
To find the polynomial for the area of a rectangle, we need to multiply its length by its width. In this case, the width of the rectangle is given as "w" and the length is "2w + 4".
So, the polynomial for the area of the rectangle is:
Area = Width × Length
Area = w × (2w + 4)
To simplify this expression, we use the distributive property:
Area = 2w^2 + 4w
Therefore, the polynomial for the area of the rectangle is 2w^2 + 4w.