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    Question

    The lengths of the diagonals of a rhombus are 2a and 2b.

    Its perimeter is
    A 2√a²+b² Correct Answer Incorrect Answer
    B 4ab Correct Answer Incorrect Answer
    C 4√a²+b² Correct Answer Incorrect Answer
    D More than one of the above Correct Answer Incorrect Answer
    E None of the above Correct Answer Incorrect Answer

    Solution

    ATQ, In a rhombus, the diagonals bisect each other at right angles. So, each side of the rhombus forms a right-angled triangle with half of the diagonals. Each half-diagonal is:    Using the Pythagorean theorem, the side ‘’s’’ of the rhombus is:    The perimeter of a rhombus is:

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