Question 945801
{{{P=2(L+W)=60}}}
1.{{{L+W=30}}}
.
.
{{{A=L*W=216}}}
2.{{{L*W=216}}}
From 1,
{{{L+W=30}}}
{{{L=30-W}}}
Substitute into 2,
{{{(30-W)W=216}}}
{{{30W-W^2=216}}}
{{{W^2-30W+216=0}}}

{{{(W-18)(W-12)=0}}}
{{{W-18=0}}}
{{{W=18}}}
Then,
{{{L+18=30}}}
{{{L=12}}}
and
{{{W-12=0}}}
{{{W=12}}}
Then,
{{{L+12=30}}}
{{{L=18}}}
The playground is 18 x 12.