Answer:
Area = 2.99 cm2
Step-by-step explanation:
[tex]P=2l+2w[/tex]
If:
[tex]l=2w\\P=7\frac{1}{3} cm=\frac{22}{3} cm[/tex]
Then
[tex]\frac{22}{3} =2(2w)+2w[/tex]
[tex]\frac{22}{3} =6w[/tex]
[tex]\frac{22}{18} =w[/tex]
[tex]l=2w=2(\frac{22}{18} )=\frac{44}{18}[/tex]
lenght simplified=22/9
width simplified = 11/9
Area.
[tex]A=lw=(\frac{22}{9} )(\frac{11}{9} )=(\frac{242}{81} )=2.99cm^{2}[/tex]
Hope this helps
