Respuesta:
[tex]area = {4418cm}^{2} [/tex]
Explicación paso a paso:
[tex]2x + 2x + x \times + x = 6x[/tex]
[tex]6x = 282 \\ x = 47[/tex]
[tex]largo = 2x = 2(47) = 94 \: {cm}[/tex]
[tex]ancho = x = 47[/tex]
[tex]area = 47 \times 94 = {4418 cm}^{2} [/tex]