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The perimeter of a rectangle billboard is 60 feet and has a length 6 feet longer than its width. Find the dimensions of the billboard.



Answer :

[tex]x-width\\x+6-length\\\\2x+2(x+6)=60\\\\2x+2\cdot x+2\cdot6=60\\\\2x+2x+12=60\\\\4x+12=60\ \ \ \ /-12\\\\4x=48\ \ \ \ /:4\\\\x=12\ (ft.)\\\\x+6=12+6=18\ (ft.)\\\\Answer:18ft.\ \times\ 12ft.[/tex]
iloveonedirection
[tex]P=2l + 2w[/tex]

[tex]l=6+w[/tex]
[tex]60 = 2l+2w[/tex]

[tex]60=2(6+w)+2w[/tex]
[tex]60=12+2w+2w[/tex]
[tex]60=12+4w[/tex]
[tex]48=4w[/tex]
[tex]12=w[/tex]

[tex]l=6+(12)[/tex]
[tex]l=18[/tex]

[tex]length:18ft \\ width:12ft[/tex]

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