Question 628653
{{{ A = L*W }}}
{{{ 55 = L*W }}}
{{{ W = 55/L }}}
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The formula for perimeter is
{{{ P = 2W + 2L }}}
By substitution:
{{{ P = 2*( 55/L ) + 2L }}}
{{{ P = 110/L + 2L }}}
Here's the plot:
{{{ graph( 400, 400, -2, 16, -5, 50, 110/x + 2x ) }}}
The minimum perimeter is around {{{ P = 30 }}}
and {{{ L = 7.5 }}}
Since {{{  sqrt(55) = 7.416 }}}., and {{{ 4*7.416 = 29.665 }}},
It looks like the perimeter is minimum when the
rectangle is a square.
{{{ P[min] = 29.7 }}}
OK