NIMCET 2023 Question Paper with solutions

Two friends $\mathrm{A}$ and $\mathrm{B}$ were standing at the diagonally opposite corners of a rectangular plot whose perimeter is $100\mathrm{m}$. A first walked $\mathit{x}$ meters along the length of the plot towards East and then $\mathit{y}$ meters towards the South. B walked $\mathit{x}$ meters along the breadth towards North and then $\mathit{y}$ meters towards West. At the end of their walks, A and B were standing at the diagonally opposite corners of a smaller rectangular plot whose perimeter is $40\mathrm{m}$. How much distance did A walk?