Question 867776
x base, y height.
y=2+3x.
{{{(1/2)xy=28}}}
{{{(1/2)x(3x+2)=28}}}
{{{3x^2+2x=56}}}
{{{highlight_green(3x^2+2x-56=0)}}}
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This has only one meaningful solution, and the request that the minimum value be found is not important.
{{{x=(-2+sqrt(2*2-4*3*(-56)))/(2*3)}}}
{{{x=(-2+sqrt(4+12*56))/6}}}
{{{x=(-2+sqrt(676))/6}}}
{{{x=(-2+26)/6=24/6}}}
{{{highlight(x=4)}}}, {{{highlight(y=14)}}}.


Base is 4 yards and height is 14 yards.