1. The breadth of the rectangular plot (in metres) is four less than thrice its length of the plot, and the area of the plot is \(384 \ m^2\). We need to find length and breadth of the plot.
2. Sum of squares of two consecutive positive integers is \(113\). We need to find those integers.
[Note: Enter the equation without simplification, and enter the coefficients and symbols in separate answer boxes]