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The length of a living room is 12 feet and its width is 10 feet. The length of the room is being expanded...

5. The length of a living room is 12 feet and its width is 10 feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet.
☐ 10.5(12x) square feet
☐ (10.5 + 12 + x) square feet
☐ 10.5(12 + x) square feet
☐ 12x square feet
☐ (12x + 10.5x) square feet
☐ (22.5 + x) square feet

Answer

The area of the living room after expansion is given by the expression for area: (length + x) * width. The original length is 12 feet, and the width is 10 feet. Therefore, the expression for the area is:

  1. (12 + x) * 10 = 120 + 10x square feet.

None of the provided options directly match this expression. However, the closest correct expression representing the area is:

  1. 10.5(12 + x) square feet is incorrect because it uses 10.5 instead of 10.
  2. None of the other options correctly represent the area of the living room.

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