Let's consider a window consisting of a rectangle of width x (in meters) topped by an equilateral triangle. Given that the perimeter of the window is 8 meters, determine the dimensions of the window that maximize the area (the glass surface). [Hint: The perimeter constraint allows expressing the height h in terms of x. Then, the area A (in m^2) of the window can be modeled by a quadratic model A=f(x). It is sufficient to find the coordinates of the vertex. See my summary sheet for the formulas of the quadratic model.]