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The formula for the perimeter of a rectangle is given by $P=2 l+2 w$, where $l$ is the length and $w$ is the width. Assume the perimeter of a rectangular plot of land is $480 \mathrm{ft}$. The length is twice the width. Find the length of the rectangular plot of land.
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$\textbf{Answer:}$

$l=160$

$\textbf{Explanation:}$

We are told that $P=480$ and $l =2w$

$P =2l+2w$

$\implies 480 =2(2w) +2w$

$\implies 480 = 6w$

$\implies w=80$

Hence $l=2(80)$

$\implies l =160$
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