a cruise ship has a rectangular swimming pool. The width of the pool is 30% of the length of the pool. the perimeter of the pool is 1040 feet. what is the width of the pool? What is the length of the pool?

The length of the pool is 400 feet.

The width of the pool is 120 feet.

Step-by-step explanation:

We are given the width (W) is 30% of the length (L).

We are also given the perimeter of the pool is 1040.

So in equation form this is what we have:

W=.3L (of means multiply)

2L+2W=1040

We are going to plug the first equation into the second like so:

2L+2 (.3L) = 1040

2L+.6L=1040

2.6L=1040

Divide both sides by 2.6

L=1040/2.6

L=400

The length of the pool is 400 feet.

W=.3L

W=.3 (400)

W=120

The width of the pool is 120 feet.

We get two equations that we can use for this equation.

2w + 2L = 1040

and

w = 0.3L

We can input w into the first equation:

0.6L + 2L = 1040

2.6L = 1040

L = 400

W = 120