QUESTION 7 Find the dimensions of the rectangle of largest area that has its base on the :c-axis and its other two vertices above the m-axis and lying on the parabola y = 9 - 12 As your answer please input the value of the area of the rectangle (that has the maximal area) in the decimal form with three signicant digits after the decimal point. QUESTION 8 A Norman window has the outline of a semicircle on top of a rectangle (see Figure below). Suppose there is 8 + 71' feet of wood trim available for all 4 sides of the rectangle and the semicircle. Find the dimensions of the rectangle (and hence the semicircle) that will maximize the area of the window. As your answer please input value of the maximal area of the window in decimal format with three signicant digits after the decimal place