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=(290)/(10) \\ w=29 \end{gathered}`

for the length

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

l=119 ft

w=29ft