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    Question

    The difference between the length and breadth of a

    rectangle is 27 m. If its perimeter is 194 m, then its area is
    A 2120 m² Correct Answer Incorrect Answer
    B 1666 m² Correct Answer Incorrect Answer
    C 2170 m² Correct Answer Incorrect Answer
    D 1760 m² Correct Answer Incorrect Answer

    Solution

    Using formula, Perimeter = 2(l + b)   Let the breadth be ‘x’ metre Length = (27 + x) metre ⇒ 2(x + 27 + x) = 194 ⇒ 4x = 194 – 54 ⇒ x = 140/4 = 35 metre Therefore, length = 35 + 27 = 62 metre Therefore, required area = 62 x 35 = 2170 m²

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