Question

A rectangular swimming pool is 8ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 3600 cubic feet. Find the dimensions of the pool.

Answer 1

Dimensions of pool are length 10 feet and width 45 feet and height 8 feet

Solution:

Given that,

Rectangular swimming pool is 8ft deep

Height = 8 feet

The amount of water needed to fill the swimming pool is 3600 cubic feet

Volume of pool = 3600 cubic feet

Let "x" be the length of rectangular pool

One side of the pool is 4.5 times longer than the other

So, width of pool = 4.5x

The volume of pool is given as:

$volume = length \times width \times height$

Substituting the known values,

$3600 = x \times 4.5x \times 8\\\\36x^2 = 3600\\\\x^2 = 100\\\\x = \pm 10$

Since length cannot be negative, ignore x = -10

Thus solution is x = 10

Therefore, length = x = 10 feet

width = 4.5x = 4.5(10) = 45 feet

Thus dimensions of pool are length 10 feet and width 45 feet and height 8 feet