Question

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

Answer 1

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

Answer 2

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

Answer 3

he's on the way yes?

Answer 4

\[(30-b)b=216\]
\[30b-b^2=216\]
\[b^2-30b+216=0\]
\[(b-18)(b-12)=0\]
\[b=18\] or
\[b=12\]

Answer 5

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

Answer 6

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

Answer 7

(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

Answer 8

thank u very much :) rly appreciated ur help!

Answer 9

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?

Answer 10

do any of u know why? ):