Question

    Find the area of a rhombus. A.

    Sum of the squares of the diagonals is 256 m². B. Perimeter of the rhombus is 32 m. C. Ratio of one diagonal and the side is 3:8 The following questions are accompanied by three statement A, B and C. you have to determine which statement (s) is /are necessary/ sufficient to answer the question.
    A Only A and B together Correct Answer Incorrect Answer
    B Only C Correct Answer Incorrect Answer
    C C and either A or B Correct Answer Incorrect Answer
    D Any two of them Correct Answer Incorrect Answer
    E All statements are required Correct Answer Incorrect Answer

    Solution

    If d₁ and d₂ be the diagonals and a the length of the side of the rhombus then A. d₁²and d₂² = 4a² = 256 a² = 64 a = 8 P = 4a 32 = 4a 4 = a C. d₁ : a = 3 : 8 Therefore, by combining C and either A or B, the answer can be found.

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