As i requested earlier, it would really help me in giving you consultation on the plot if you give me a hand sketch, scan it and upload it here. Is the L shaped plot having roads on front and back towards longer edge or shorter edge?
More over as per vaastu is concerned L shaped plots gives out unlucky to the buyer. If it is already buyed then it has to be made rectangular and it should be used. However please do attach the sketch here to know more from me please mention the North direction in the plot.