The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of 477 ft squared, find the length of the longer base.
Area of a trapezoid: [(top +bottom)*height]/2 suppose the length of one base is x, then the other base is 5x-19 [(x+5x-19)*18]/2=477 [6x-19]*18=954 6x-19=53 6x=72 x=12 The longer base is 5*12-19=41