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

Sagot :

iGreen
Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
So we can plug in '4W' for 'L' in the first equation.
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.
The length of the swimming pool is 64 feet long, and the width is 16 feet long. So the pool is 64' by16'
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