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The area of a square with sides of length b is ___________

  1. b

  2. b^2

  3. b/2

  4. 2b

The correct answer is: b^2

The area of a square is given by the formula A = side * side. In this case, the side of the square is b, so the area is equal to b * b which simplifies to b^2. Option A is incorrect because it only gives the length of one side, not the area of the entire square. Option C is incorrect because dividing by 2 would result in a smaller value, which cannot represent the area of a square. Option D is incorrect because it multiplies the side length by 2, which would give the perimeter of the square, not the area. Therefore, the correct answer is B.