Question

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 1

`P=2l + 2w`


`l=6+w`

`60 = 2l+2w`


`60=2(6+w)+2w`

`60=12+2w+2w`

`60=12+4w`

`48=4w`

`12=w`


`l=6+(12)`

`l=18`


`length:18ft \\ width:12ft`

Answer 2

`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.\ *\ 12ft.`