Respuesta :

CSMedrano

Answer:

241/81 cm^2

Step-by-step explanation:

[tex]2\: lenghts = wide\\\\lenght=x\\\\2x=wide\\\\Perimeter = 2(wide+lenght)\\\\P=2(2x+x)\\\\P=2(3x)\\\\P=7\frac{1}{3}\\\\\frac{22}{3}=6x\\\\x=\frac{22}{3*6}\\\\x=\frac{11}{9}\\\\width = 2x=2(\frac{11}{9})=\frac{22}{9}[/tex]

[tex]Area = lenght\times width\\\\Area = \frac{11}{9}\times\frac{22}{9}\\\\A=\frac{11*22}{9*9}\\\\A=\frac{242}{81}cm^2[/tex]

xenia168

Answer:

[tex]2\frac{80}{81}[/tex] cm²

Step-by-step explanation:

A = lw

P = 2(l + w)

~~~~~~~~~~~

l = 2w

2(2w + w) = [tex]7\frac{1}{3}[/tex]

2(3w) = [tex]\frac{22}{3}[/tex]

3w = [tex]\frac{11}{3}[/tex]

w = [tex]\frac{11}{9}[/tex]

l = [tex]\frac{22}{9}[/tex]

A = [tex]\frac{22}{9}[/tex] × [tex]\frac{11}{9}[/tex] = [tex]\frac{242}{81}[/tex] = [tex]2\frac{80}{81}[/tex] cm²