we know that
pool table will be in rectangular shape
let's assume
length is l
width is w
we are given
perimeter is 30ft
[tex] perimeter =2(l+w) [/tex]
[tex] 30 =2(l+w) [/tex]
we have
twice as long as wide
it means
l=2w
so, we can plug it
[tex] 30 =2(2w+w) [/tex]
[tex] 30 =6w [/tex]
[tex] w =5 [/tex]
now, we can find l
[tex] l =2*5 [/tex]
[tex] l =10ft [/tex].............Answer