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    Question

    The length of a rectangular garden is 32 metres and its

    breadth is 16 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden:
    A 12 metres Correct Answer Incorrect Answer
    B 16 metres Correct Answer Incorrect Answer
    C 18 metres Correct Answer Incorrect Answer
    D 32 metres Correct Answer Incorrect Answer
    E 6 metres Correct Answer Incorrect Answer

    Solution

    Using formula, Area = lb & Area = a2 = (Diagonal2)/2 Area of the rectangular garden = 32 × 16 = 512 m2 = Area of the square garden Therefore, Side of the square garden = √512 m2 Therefore, diagonal of the square garden = √2 x side ⇒ √2 x √512 = √1024 ⇒ 32 m

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