Perimeter:
[tex]P=2x+2y=64[/tex]
Area:
[tex]A=x\cdot y=64[/tex]
so:
[tex]x=\frac{64}{y}[/tex]
Replace this value into the perimeter equation:
[tex]\begin{gathered} 2\frac{64}{y}+2y=64 \\ 128+2y^2=64y \\ 2y^2-64y+128=0 \\ y\approx29.8 \end{gathered}[/tex]
so:
[tex]\begin{gathered} x=\frac{64}{29.8}=2.14 \\ \end{gathered}[/tex]
Therefore:
