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A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her current office is 88 feet, how many square feet is the new office?

  1. 176 sq ft

  2. 196 sq ft

  3. 144 sq ft

  4. 128 sq ft

The correct answer is: 176 sq ft

The new office is twice the area of the woman's current office. This means that the new office is double the size of the current office. Since the current office is a square, this also means that the new office has twice the length and width of the current office. Double the length and width of a square will result in a square that is twice as large in area. Therefore, the new office has an area of 176 sq ft. The other options are incorrect because they do not reflect the information given in the question. Option B (196 sq ft) is not double the size of the current office and has a perimeter of 98 feet, which does not match the given perimeter of 88 feet. Option C (144 sq ft) has a perimeter of 60 feet, which is not double the perimeter of the current office. Option D (128 sq ft) is not double the size of the current office and has a perimeter of 64 feet, which also does not match the given perimeter of 88 feet. Therefore, the best answer is A (176 sq ft) as it is the only option that meets the criteria given in the question.