Question

Use the formula P = 2l + 2w to find the length l of a rectangular lot if the width w is 55 feet and the perimeter P is 260 feet.l = ? feet

Answer 1

In order to determine the length of the given rectangle, Solve the equation for the perimeter of the rectangle for l and replace w=55ft and P=260ft, and simplify:

`\begin{gathered} P=2l+2w \\ 2l=P-2w \\ l=(P-2w)/(2) \\ l=(260ft-2(55ft))/(2) \\ l=(260ft-110ft)/(2) \\ l=(150ft)/(2)=75ft \end{gathered}`

Hence, the length of the rectangle is 75ft