Question 992341
w width, L length
{{{system(2w+2L=110,wL>=700)}}}


{{{L=55-w}}} OR  {{{w=55-L}}}, because initially w and L are not necessarily distinct.


{{{wL>=700}}}
{{{(55-L)L>=700}}}
{{{-L^2+55L-700>=0}}}
{{{highlight_green(L^2-55L+700<=0)}}}


The boundary roots for the inequality:
{{{(55+- sqrt(55^2-4*700))/2}}}
{{{(55+- 15)/2}}}
20  or  35


L is used in what becomes a quadratic inequality and in the relation formed, we must have the values BETWEEN the roots, INCLUSIVELY.  Both roots are positive, so there is no other restriction to manage:
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Length of the garden is between  20 and 35 feet, inclusive.
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