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Louis wants to carpet the rectangular floor of his basement.The basement has a area 432 square feet,The width of the basement is 1/3 its length.What's the length of Louis's basement.

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sqdancefan

Answer:

  36 ft

Step-by-step explanation:

Let L represent the length of Louis's basement. The area is the product of length and width, so is ...

  A = L(L/3)

  432 = L²/3 . . . . . fill in area value

  1296 = L² . . . . . . multiply by 3

  36 = L . . . . . . . . . take the square root

The length of Louis's basement is 36 feet.

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