A trapezium is given with parallel bases having lengths 1 and 4. Split it into two trapeziums by a cut, parallel to the bases, of length 3. We now want to divide the two new trapeziums, always by means of cuts parallel to the bases, in m and n trapeziums, respectively, so that all the m+n trapezoids obtained have the same area. Determine the minimum possible value for m+n and the lengths of the cuts to be made to achieve this minimum value. geometrytrapezoidgeometry proposed