Question

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?

Answer 1

Answer:

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.

Answer 2

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