Question 1128451
Let the base and the height both = {{{ x }}}
{{{ A = (1/2)*x^2 }}}
{{{ 2x = A - 16 }}}
{{{ 2x = (1/2)*x^2 - 16 }}}
{{{ 4x = x^2 - 32 }}}
{{{ x^2 - 4x - 32 = 0 }}}
{{{ ( x - 8 )*( x + 4 ) = 0 }}}
{{{ x = 8 }}}
{{{ A = (1/2)*8^2 }}}
{{{ A = 32 }}} 
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check:
{{{ 2x = (1/2)*x^2 - 16 }}}
{{{ 2*8 = (1/2)*8^2 - 16 }}}
{{{ 16 = 32 - 16 }}}
{{{ 16 = 16 }}}
OK