Question

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.

Answer 1

$\textbf{Answer:}$

$ 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$