Question 1184750

given:
the perimeter of a rectangle is {{{P=234m}}}

The length is twice as long as the width:

{{{L=2W}}}....eq.1

 What is the length and width?

 {{{P=2(L+W)}}}

 {{{2(L+W)=234m}}}

{{{L+W=234m/2}}}

{{{L+W=117m}}}...........substitute {{{L}}} from eq.1


{{{2W+W=117m}}}

{{{3W=117m}}}

{{{W=117m/3}}}

{{{W=39m}}}


go to

{{{L=2W}}}....eq.1  substitute {{{W}}}

{{{L=2*39m}}}

{{{L=78m}}}


so, the length is {{{78m}}} and the  width is {{{39m}}}