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The length of a living room is 12 feet and its width is 10 1/2 feet. The length of the room is being...

5. The length of a living room is 12 feet and its width is 10 1/2 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
☐ 126x square feet
☐ (126 + 10.5x) square feet
☐ (22.5 + x) square feet

Answer

The area of the living room is calculated by multiplying the width by the new length (original length plus x).

  1. The original width is 10.5 feet and the original length is 12 feet, so the new length is (12 + x) feet.
  2. The correct expression for the area is: 10.5(12 + x) square feet.

Therefore, the correct option is:

  • ☑ 10.5(12 + x) square feet

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