Question 125561
The perimeter of a rectangle is given by {{{P=2L + 2W}}}.  In this case, {{{L=2W-15}}}, so we can create an expression for the perimeter by substituting this expression for L


{{{P=2(2W-15)+2W}}}, and we know that this perimeter is 234 meters.  Hence,


{{{2(2W-15)+2W=234}}}


Distribute, collect terms, move the constant value to the right.
{{{4W-30+2W=234}}}
{{{6W=264}}}


Divide by 6
{{{W=44}}} 


So the width of the field is 44 meters.  The length of the field is then {{{2(44)-15=73}}} meters.


Check:
{{{2*73+2*44=146+88=234}}} Answer checks.