Question

    The radius of a circle is derived from its

    circumference, which measures 88 meters. A rectangle features a length that exceeds the circle’s radius by 50%. Additionally, the rectangle's breadth is two-thirds of its length. Calculate the perimeter of this rectangle. (Use 'π' = 22/7)
    A 77 m Correct Answer Incorrect Answer
    B 90 m Correct Answer Incorrect Answer
    C 84 m Correct Answer Incorrect Answer
    D 70 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Circumference of circle = 2 X π X radius So, 2 X (22/7) X radius = 88 Or, radius = 88 X (7/44) Or, radius = 14 m Length of rectangle = 1.5 X 14 = 21 m Breadth of rectangle = (2/3) X 21 = 14 m Perimeter of rectangle = 2 X (21 + 14) = 70 m

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