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    Question

    The length of a rectangle is 50% more than its breadth.

    If the area of the rectangle is 294 square metres, what is its perimeter?
    A 40 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 70 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let breadth = b, length = 1.5b Area = b × 1.5b = 1.5b² = 294 b² = 294 / 1.5 = 294 × (2/3) = 196 ⇒ b = 14 Length = 1.5 × 14 = 21 Perimeter = 2(l + b) = 2(21 + 14) = 2 × 35 = 70

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