Answer: The perimeter of the flower box can be determined by adding up the lengths of all four sides. In this case, we can see that the width of the flower box is represented by the variable x in feet, and the height is given as 2(x+4). To find the perimeter, we need to add up the lengths of the top and bottom (2x) and the left and right sides (2(x+4)). So, the perimeter P(x) can be expressed as:
P(x) = 2x + 2(x+4)
Simplifying this expression:
P(x) = 2x + 2x + 8
P(x) = 4x + 8
So the perimeter of the flower box is 4x+8 feet, based on the width x in feet.
Explanation: