Is it possible to design a rectangular park of perimeter $80 \mathrm{m}$ and area $400 {\mathrm{m}}^2$? If so, find its length and breadth. Comment on your answer.

A piece of wire $8\mathrm{m}$ in length is cut into two pieces, and each piece is bent into a square. Where should the cut in the wire be made if the sum of the areas of these squares is to be $2{\mathrm{m}}^2$.