The simplified area function in terms of y for a rectangle is

Solution:
Given that length of each side of a square = y
Need to determine area of rectangle whose length is twice the length of the square and width is 2 units longer that the side length of square
Length of rectangle = twice of side length of square =

Width of rectangle = 2 + side length of square = 2 + y = y + 2

On substituting length and width in formula for area, we get

Hence function
is represents area of required rectangle.