Question

    What is the area of the square? I. The diagonal

    of the square is the 6√3m. II. The perimeter of the square is 48m. Each of the following questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
    A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
    B If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
    C If the data either in statement I alone or statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
    D If the data in both statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
    E If the data in both statement I and II together are necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    From I Area of the square = 1/2 d2 = 1/2 (6√3)² = 1/2 × 36 × 3 = 54m²  From II Perimeter of the square = 48m Side = 48/4 = 12m ∴ Area of the square = (12)² = 144m²  Hence, the question can be answered either from statement I or from statement II.

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