Leo's Jump Rope

Leo’s jump rope is 8ft long. He uses his rope to wrap a rectangle ABCD with no remainder of the rope outside ABCD. Kyle draws a circle with center A and radius AC. Kyle’s circle and the extension of AB intersect at E; Kyle’s circle and the extension of AD intersect at F. If AE = 3. What is the area of  BDFE? (FE is an arc, not a chord.)