A farmer needs to enclose three sides of a plot with a fence (the fourth side is a river). The farmer has 109 meters of fence and wants the plot to have an area of 1409 sq-meters. What should the dimensions of the plot be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); and the length should be as long as possible.)

length = meters
width = meters

Enter your answers as numbers. If necessary, round to the nearest hundredths.