Question

The perimeter of a rectangular sandbox is 60 ft. The length is two times the width. Find the length and the width of the sandbox.

Answer 1

P=l*w

so 60=x*2x

Answer 2

or 60=3x so we divide by 3

Answer 3

60/3=x

20=x

l=2*20 =40

w=20

Answer 4

length - \(\color{black}{\ell}\)
width - \(\color{black}{w}\)
perimeter - \(\color{black}{\rm P}\)

\(\color{black}{{\rm P}=2(\ell+w)}\)
\(\scriptsize\color{ #996600 }{\scriptsize{\bbox[5pt, #996600 ,border:2px solid #996600 ]{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ }}}\)

\(\color{black}{60=2(\ell+w)}\)
\(\color{black}{\ell=2w}\)

Solve this system of equations.