Respuesta :

Answer:   146 feet

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Explanation:

  • P = 580 is the perimeter of the rectangle
  • W = 144 is the width
  • L = unknown length

The units for each are in feet.

The formula tying together all three variables is

P = 2(L+W)

which is the same as saying

P = 2L+2W

We can think of it having two copies of L and two copies of W, four sides total, added together to get the full perimeter.

I'll go with the first version. Plug in the given values and solve for L

P = 2(L+W)

2(L+W) = P

2(L+144) = 580

L+144 = 580/2

L+144 = 290

L = 290-144

L = 146 feet is the length

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We can confirm this by saying

P = 2(L+W) = 2(146+144) = 2*290 = 580

Or we could say

P = 2L+2W = 2*146+2*144 = 292+288 = 580

or,

P = L+W+L+W = 146+144+146+144 = 580