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    Question

    Calculate the perimeter of a rectangle, given that a

    circle with an area of 308 cm² has a radius that matches the diagonal of a square. The ratio between the perimeter of the square and that of the rectangle is 7:18.
    A 90 cm Correct Answer Incorrect Answer
    B 54 cm Correct Answer Incorrect Answer
    C 36 cm Correct Answer Incorrect Answer
    D 72 cm Correct Answer Incorrect Answer
    E 108 cm Correct Answer Incorrect Answer

    Solution

    Let radius of circle is ‘r’ cm And, length of the side of square is ‘a’ cm So, 22/7 × r2 = 308 Or, r2 = 98 cm Or, r = 7√2 cm So, Length of diagonal of square = √2 × a = 7√2 So, a = 7 cm Perimeter of square = 7 × 4 = 28 Perimeter of rectangle = 18/7 × 28 = 72 cm Hence, option d.

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