Answered

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.

Verified Answer :

\(x-width\\x+6-length\\\\2x+2(x+6)=60\\\\2x+2\cdot x+2\cdot6=60\\\\2x+2x+12=60\\\\4x+12=60\ \ \ \ /-12\\\\4x=48\ \ \ \ /:4\\\\x=12\ (ft.)\\\\x+6=12+6=18\ (ft.)\\\\Answer:18ft.\ \times\ 12ft.\)

iloveonedirection

\(P=2l + 2w\)

\(l=6+w\)
\(60 = 2l+2w\)

\(60=2(6+w)+2w\)
\(60=12+2w+2w\)
\(60=12+4w\)
\(48=4w\)
\(12=w\)

\(l=6+(12)\)
\(l=18\)

\(length:18ft \\ width:12ft\)

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