Question 1038560
<pre>x    Length
y    Width
</pre>
{{{system(x=y+12,xy=180)}}}


{{{(y+12)y=180}}}
{{{y^2+12y=180}}}
{{{y^2+12y-180=0}}}


Check Discriminant.
{{{12^2-4*1*(-180)}}}
{{{144+4*180}}}
{{{864}}}
{{{9*96}}}
{{{9*16*6}}}
{{{9*4^2*2*3}}}
{{{3^2*4^2*6}}}


{{{y=(-12+- sqrt(3^2*4^2*6))/2}}}


{{{y=(-12+12*sqrt(6))/2}}}


{{{highlight(y=-6+6*sqrt(6))}}}-----------------Use this to find x.