SOLUTION: A rectangular playground has a perimeter of 60 m and an area of 216 sq.m. Find the dimensions of the playground.

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Question 945801: A rectangular playground has a perimeter of 60 m and an area of 216 sq.m. Find the dimensions of the playground.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P=2%28L%2BW%29=60
1.L%2BW=30
.
.
A=L%2AW=216
2.L%2AW=216
From 1,
L%2BW=30
L=30-W
Substitute into 2,
%2830-W%29W=216
30W-W%5E2=216
W%5E2-30W%2B216=0
%28W-18%29%28W-12%29=0
W-18=0
W=18
Then,
L%2B18=30
L=12
and
W-12=0
W=12
Then,
L%2B12=30
L=18
The playground is 18 x 12.