Question 587812
Call the distance around the perimeter, {{{P}}}
Let the length = {{{L}}}
Let the width = {{{W}}}
The formula for perimeter is:
{{{ P = 2L + 2W }}}
given:
{{{ 2L + 2W <= 380 }}}
{{{ L + W <= 190
and
{{{ L >= 110 }}}
When the width is close to zero, I get
{{{ L + 0 < 190 }}}
so, I can say:
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{{{ 190 > L >= 110 }}} 
{{{ L + W <= 190 }}}
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If you plot {{{ L }}} on the horizontal and
{{{ W }}} on the vertical,  the solutions are only valid between
{{{ L = 110 }}} and {{{ L = 190 }}}
The line you plot looks like
{{{ W <= -L + 190 }}}
which is the area under this line between
{{{ L = 110 }}} and {{{ L = 190 }}}
{{{ graph( 400, 400, -30, 210, -30, 210, -x + 190 ) }}}