Question

A rectangle's perimeter is 296 ft. Its length is 3 ft longer than four times its width. Use an equation to find the rectangle's length and width

Answer 1

We have the formula of the perimeter

$P=296=2l+2w$

where

l=length

w=width

l=3+4w

the equation of the perimeter is

$2(3+4w)+2w=296$

then we need to clear w

$\begin{gathered} 6+8w+2w=296 \\ 10w=296-6 \\ 10w=290 \\ w=\frac{290}{10} \\ w=29 \end{gathered}$

for the length

$l=3+4(29)=119$

l=119 ft

w=29ft