A billboard designer wants a new sign that has 2-ft. margins at the top and bottom, and ?ft. margins on the left and right sides. Furthermore, the billboard should have a total area of 2,000 ftzt including the margins. If :1: denotes the width in feet of the billboard, fInd a function in the variable a: giving the area of the printed {shaded} region of the billboard. :1: 7 ft. 2ft