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.
To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as "w" and the length is "2w + 4". Therefore, we can write the polynomial for the area of the rectangle as:
Area = Length × Width
Area = (2w + 4) × w
Now, we can simplify this expression by using the distributive property of multiplication:
Area = 2w × w + 4 × w
Area = 2w^2 + 4w
So, the polynomial for the area of the rectangle is 2w^2 + 4w.
The area of a rectangle is calculated by multiplying its length by its width.
In this case, the width is represented by "w" and the length is represented as 2w + 4.
So, the polynomial for the area of the rectangle can be expressed as:
Area = w * (2w + 4)
Simplifying the expression, we get:
Area = 2w^2 + 4w
Area is length times width
(2w+4)(w)
Multiply and you will get the polynomial