Can someone simply tell me what methods I must use in order to solve this word problem? Please, don't include the answer. I wish to solve this on my own. However, I would truly appreciate it if anyone could evaluate my answer afterwards.
"A rectangle has a 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."
My answer: 2w^2 + 4^2?
Have I answered correctly?
as you know,
area = width * length
area = w*(2w+4)
To write a polynomial for the area of the rectangle, we need to recall that the area of a rectangle is calculated by multiplying its length by its width. In this case, the width is given as "w," and the length is stated as "2w + 4."
To derive the polynomial expression for the area, we multiply the length and the width:
Area = w * (2w + 4)
To simplify this expression, we can distribute the w to both terms inside the parentheses:
Area = 2w^2 + 4w
Thus, the polynomial expression for the area of the rectangle is 2w^2 + 4w.
Now, you can attempt to solve the problem by applying this polynomial expression. Afterward, I would be happy to evaluate your answer if you'd like.