Besides of a square, all have a side length of Y. Write a simplified area function, in terms of Y for a rectangle, whose length is twice the side length of the square, and whose width is two units longer than the side length of the square.
Let's denote the length of the rectangle as L and the width as W.
The length of the rectangle is twice the side length of the square, so L = 2Y.
The width of the rectangle is two units longer than the side length of the square, so W = Y + 2.
The area of a rectangle is given by the formula A = L * W. Plugging in the values we found for L and W:
A = (2Y) * (Y + 2)
A = 2Y^2 + 4Y
Therefore, the simplified area function in terms of Y for the given rectangle is A = 2Y^2 + 4Y.