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    Question

    ST

    The length of a rectangle, area of which is 252

    cm2, is equal to the radius of a circle of area 2464 cm2. Find the perimeter of the rectangle?
    A 74 cm Correct Answer Incorrect Answer
    B 52 cm Correct Answer Incorrect Answer
    C 22 cm Correct Answer Incorrect Answer
    D 50 cm Correct Answer Incorrect Answer
    E 52 cm Correct Answer Incorrect Answer

    Solution

    Let the radius of the circle = r  Area of circle = 2464 = 22/7 × r × r  ⇒ r = 28 cm  Area of rectangle = 252 = L × B = 28 × B  ⇒ B = 9 cm  Perimeter = 2 × (L + B) = 2 × (28 + 9) = 74 cm  

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