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I need help asap 10 points.
A living room floor consists of an area rug and hardwood. The area of the rug is 195 square feet. What is the area (in square feet) of the entire living room?​

I need help asap 10 points A living room floor consists of an area rug and hardwood The area of the rug is 195 square feet What is the area in square feet of th class=

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sqdancefan

Answer:

  441 square feet

Step-by-step explanation:

The rug area has dimensions x-6 and x-8. Its area is ...

  A = LW

  195 = (x -6)(x -8)

  195 = x^2 -14x +48

  196 = x^2 -14x +49 . . . . . . add 1 to make this a perfect square

  14^2 = (x -7)^2

  14 = x -7 . . . . . . take the square root

  x = 14 +7 = 21

The area of the living room is ...

  A = x^2 = 21^2 = 441 . . . square feet

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