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    Question

    If the perimeter of a certain rectangle is 76 and its

    area 360, then what is the length of its shortest side?
    A 12 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    Given, 2(l + b) = 76-----(1) l × b = 360-------(2) l(38 - l) = 360 38l - l2 = 36 l2 - 38l + 360 = 0 l2 - 18l - 20l + 360 = 0 (l - 18)(l - 20) = 0 l = 18, 20 Hence, smallest side = 18 unit

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