Question 704198
{{{ A = x*( 6 - 2x ) }}}
{{{ A = -2x^2 + 6x }}}
This is a parabola with a maximum
The x-coordinate of the vertex is at
{{{ x[v] = -b/(2a) }}}
{{{ x[v] = -6/(2*(-2)) }}}
{{{ x[v] = 3/2 }}}
width = 3/2
length = {{{ 6 - 2x = 6 - 2*(3/2) ) }}}
{{{ 6 - 2*(3/2) = 3 }}}
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So, the 2 sides are 3/2 + 3/2 = 3
and the length = 3
Total length = {{{ 3 + 3 = 6 }}}
OK