A rectangular playground has a perimeter of 60m and an area of 216m^2. Find the dimensions of the playground. Thanks :)

Question

anonymous · Answer

2(l+b)=60
l*b=216

anonymous · Answer

2l+2b=60
2l=60-2b
l=30-b

anonymous · Answer

he's on the way yes?

anonymous · Answer

$$(30-b)b=216$$
$$30b-b^2=216$$
$$b^2-30b+216=0$$
$$(b-18)(b-12)=0$$
$$b=18$$ or 
$$b=12$$

anonymous · Answer

so i am willing to be one side is 12 and the other is 18

anonymous · Answer

check is easy enough, 
$$18\times 12=216$$ and
$$18+12+18+12=60$$

lalaly · Answer

(2a+2b)=60
ab=216

a=216/b
2(216/b)+2b=60
b=18 or 12

substitute to find a

a*18=216
a=12
a*12=216
a=18

the sides are 18 and 12

anonymous · Answer

thank u very much :) rly appreciated ur help!

anonymous · Answer

satellite, isn't 
30b-b^2=216
equal to..
b^2 - 30b - 216 = 0 and not b^2 - 30b + 216 = 0
why must we add 216?

anonymous · Answer

do any of u know why? ):