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Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 ft.². The width of the basement is 2/3 it’s length. What is the length of Louises basement?

Respuesta :

sqdancefan

Answer:

  36 ft

Step-by-step explanation:

The area of a rectangle is the product of length and width. Here, you have the width being 2/3 the length. Put the given values into the area formula and solve.

  A = L·W

  864 ft² = L · (2/3·L)

  1296 ft² = L² . . . . . . . multiply by 3/2

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

The length of Louis's basement is 36 feet.

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