Respuesta :

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