Given:
The width of a rectangle = W = 55 feet
And the perimeter of the rectangle = P = 270 feet
We will find the length (L) of the rectangle using the perimeter formula:
[tex]P=2L+2W[/tex]So, substitute with P and W, then solve the equation to find L
The steps will be as follows:
[tex]\begin{gathered} 2L+2\cdot55=270 \\ 2L+110=270 \\ 2L=270-110 \\ 2L=160 \\ L=\frac{160}{2}=80 \end{gathered}[/tex]So, the answer will be The length L = 80 feet