Answer:
Length = 18 meters
Step-by-step explanation:
Let the length of the rectangular pool = l meters
And breadth of the pool = w meters
Perimeter of the rectangular pool = 2(l + 2w)
Since, perimeter of the rectangular pool is 72 meters.
2(l + 2w) = 72
l + 2w = 36 --------(1)
If length of the pool is twice of its breadth,
l = 2w
w = [tex]\frac{l}{2}[/tex] -------(2)
By substituting the value of 'w' from equation (2) to equation (1),
[tex]l+2\times{\frac{l}{2}}=36[/tex]
2l = 36
l = 18 meters