Question 126377
Let the length be x, because that is the answer we want.  The length is 9 more than twice the width, so the width is expressed by {{{(x-9)/2}}}.


The perimeter of a rectangle is {{{P=2L+2W}}}.


{{{2x+2((x-9)/2)=48}}}  because we are given that the perimeter is 48.


{{{2x+x-9=48}}}


{{{3x=57}}}


{{{x=19}}}.  The length is 19 meters.


Check the answer.  If the length is 19 meters, then the width has to be {{{(19-9)/2=5}}}.   {{{2*19+2*5=38+10=48}}}.  Answer checks.