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      Question

      What is the area of a square? I. The measure of

      diagonal of the square is given. II. The measure of one side of the square is given. III. The perimeter of the square is given. In each of the following questions, a question is followed by information given in three statements. You have to study the question along with the statements and decide that the information given in which of the statements is necessary to answer the question.
      A Only II Correct Answer Incorrect Answer
      B Only III Correct Answer Incorrect Answer
      C Only I and III Correct Answer Incorrect Answer
      D Only II and III Correct Answer Incorrect Answer
      E Any one of the three Correct Answer Incorrect Answer

      Solution

      Let the diagonal of a square be ‘d’. Diagonal of a square = √2 a d = √2 a a = d/√2 Area of a square = (d/√2)² From II, Let the sides of a square be ‘a’. Area of a square = (side)² = a² From III, Let the perimeter = 4 × side P = 4a a = P/4 Area of a square = (P/4)²

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