Question

    The difference between the length and breadth of a

    rectangle is 19 m. If its perimeter is 198 m, then its area is
    A 2440 m² Correct Answer Incorrect Answer
    B 2480 m² Correct Answer Incorrect Answer
    C 2360 m² Correct Answer Incorrect Answer
    D 2496 m² Correct Answer Incorrect Answer

    Solution

    Using formula, Perimeter = 2(l + b)   Let the breadth be ‘x’ metre Length = (19 + x) metre ⇒ 2(x + 19 + x) = 198 ⇒ 4x = 198 – 38 ⇒ x = 160/4 = 40 metre Therefore, length = 40 + 19 = 59 metre Therefore, required area = 59 x 40 = 2360 m²

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