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Max is wanting to enclose a small rectangular animal pen on his farm with some spare fencing he has available. He wants it to be twice as long as it is wide. He has 36 feet of fencing. What will the area of the pen be

Respuesta :

sqdancefan

Answer:

  72 square feet

Step-by-step explanation:

If w is the width of the pen, then 2w is the length. The perimeter is ...

  P = 2(L +W)

  36 ft = 2(2w +w) = 6w

  w = (36 ft)/6 = 6 ft

The area of the pen is ...

  A = LW

  A = (2w)(w) = 2w^2

  A = 2(6 ft)^2 = 72 ft^2

The area of the pen will be 72 square feet.

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