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the length of a rectangle is twice its width. find the area if its perimiter is 7 1/3 cm

Sagot :

Hmmm try asking someone for help

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