The perimeter of a rectangle swimming pool is 160 feet. The length of the swimming pool is four times its width . Find the dimen

Question

Nata [24]

2 years ago

8

The perimeter of a rectangle swimming pool is 160 feet. The length of the swimming pool is four times its width . Find the dimen

sions of the swimming pool.

Mathematics

2 answers:

IRINA_888 [86] · Answer 1 · 2022-07-20T21:35:10+03:00

IRINA_888 [86]2 years ago

8 0

The length of the swimming pool is 64 feet long, and the width is 16 feet long. So the pool is 64' by16'

Helga [31] · Answer 2 · 2022-07-20T19:57:23+03:00

Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.</span>