The sides 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 2 units longer than the side length of the square.
The area of a rectangle is given by the formula:
Area = length x width
Given that the length of the rectangle is twice the side length of the square (2y) and the width of the rectangle is 2 units longer than the side length of the square (y+2), the area function can be expressed as:
Area = (2y) x (y+2)
Simplifying this expression, we have:
Area = 2y^2 + 4y