Question

    The length of a rectangle, area of which is 105

    cm2, is equal to the radius of a circle of area 1386 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 42 cm Correct Answer Incorrect Answer

    Solution

    Let the radius of the circle = r  Area of circle = 1386 = 22/7 × r × r  ⇒ r = 21 cm  Area of rectangle = 105 = L × B = 28 × B  ⇒ B = 5 cm  Perimeter = 2 × (L + B) = 2 × (21 + 5) = 52 cm  

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