Question 841878
x and y the two dimensions.
{{{2x+2y=54}}}, perimeter equation.
{{{highlight_green(x+y=27)}}}, perimeter equation simplified.
Area, {{{highlight_green(xy=180)}}}.
Use simple substitution and solve the quadratic equation which results.



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{{{y=27-x}}};
{{{xy=x(27-x)=180}}}
{{{-x^2+27x-180=0}}}
{{{x^2-27x+180=0}}}
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{{{x=(27+sqrt(27^2-4(180)))/2}}}
{{{x=(27+sqrt(9))/2}}}
{{{highlight(x=15)}}}
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!