An architect is developing a plot of land for a commercial complex. When asked about the dimensions of the plot, he said that if the length is decreased by $25\text{ m}$ and the breadth is increased by $25\text{ m}$, then its area increases by $625\text{ m}^2$. If the length is decreased by $20\text{ m}$ and the breadth is increased by $10\text{ m}$, then its area decreases by $200\text{ m}^2$. On the basis of the above information, answer the following questions: (i) Formulate the linear equations in $x$ and $y$ to represent the given information. (ii) Find the dimensions of the plot of land by matrix method.