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A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:


Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).


A = x(x − 4) − 0.5(8)(x − 4) − 4(8)

A = x(x − 4) − (8)(x − 4) − 4(8)

A = x(x − 4) + (8)(x − 4) + 4(8)

A = x(x − 4) + 0.5(8)(x − 4) + 4(8)

A local school needs to paint the floor of its theater room where the length of the floor x is at least 12 feet The width of the floor is 4 feet less than the l class=

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rahmathriaz

Step-by-step explanation:

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mhanifa

Answer:

  • A. A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Step-by-step explanation:

Total area:

  • A(t) = x(x - 4)

Area of the stage:

  • A(s) = 0.5(8)(x - 4)

Area of the closet:

  • A(c) = 4(8)

Area to be painted:

  • A = A(t) - A(s) - A(c)
  • A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Correct choice is A

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