Mohan wants to donate a rectangular plot of land for a hospital in his village. When he was asked to give dimensions of the plot, he told that if its length (\(x\)) is decreased by 50 m and breadth (\(y\)) is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m\(^2\).