ABCD is a rectangle in which AD = (2x + 1) cm and DC = (3x - 2) cm. PQRS is a trapezium in which PQ is parallel to SR, PQ = (x + 2) cm, SR = (5x − 8) cm and the shortest distance between PO and SR is (4x – 11) cm. The area of ABCD is twice the area of PQRS. Write down an equation in x to represent this information and show that it simplifies to 18x²-89x + 68 = 0.