Question 68515
{{{l + 2w = 60}}}
{{{lw = 352}}}
{{{w = 352/l}}}
{{{l + 2(352/l) = 60}}}
{{{l + (704 / l) = 60}}}
{{{l^2 + 704 = 60l}}}
{{{l^2 - 60l + 704 = 0}}}
{{{l = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{l = (60 +- sqrt( 3600-4*704 ))/ 2 }}}
{{{l = (60 +- sqrt(784))/ 2 }}}
{{{l = (60 +- 28) / 2}}}
1st try the + sqrt 
{{{l = (60 + 28) / 2}}}
{{{l = 44}}}  answer
{{{w = 352 / 44}}}
{{{w = 8}}} answer
check
{{{lw = 352}}}
{{{44*8 = 352}}}
{{{352 = 352}}}
OK
{{{l + 2w = 60}}}
{{{44 + 16 = 60}}}
{{{60 = 60}}}
OK
If I chose the -sqrt of 784, which was -28
{{{l = (60 - 28) / 2}}}
{{{l = 32/2}}}
{{{l = 16}}}
{{{w = 352 / 16}}}
{{{w = 22}}}
The length ends up being shorter than the width, 
which was not allowed by the problem. These numbers
will still give you the right area and length of
fencing, however.