Question

    The circumference of a circle is 22 cm and the length of

    the rectangle is 3 times the radius of the circle. Find the area (in cm2) of the rectangle, if the ratio of length and the breadth of the rectangle is 7:3, respectively.
    A 45.25 Correct Answer Incorrect Answer
    B 40.25 Correct Answer Incorrect Answer
    C 47.25 Correct Answer Incorrect Answer
    D 37.25 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the radius of the circle = ‘r’ cm Circumference of the circle = 2πr 22 = 2 × (22/7) × r r = 3.5 Radius of the circle = 3.5 cm Length of the rectangle = 3.5 × 3 = 10.5 cm Breadth of the rectangle = (10.5/7) × 3 = 4.5 cm Area of the rectangle = 4.5 × 10.5 = 47.25 cm2

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