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    Question

    MT

    The length of a rectangle, area of which is 112

    cm2, is equal to the radius of a circle of area 616 cm2. Find the perimeter of the rectangle?
    A 88 cm Correct Answer Incorrect Answer
    B 54 cm Correct Answer Incorrect Answer
    C 38 cm Correct Answer Incorrect Answer
    D 44 cm Correct Answer Incorrect Answer
    E 43 cm Correct Answer Incorrect Answer

    Solution

    Let the radius of the circle = r Area of circle = 616 = 22/7 × r × r ⇒ r = 14 cm Area of rectangle = 112 = L × B = 14 × B ⇒ B = 8 cm Perimeter = 2 × (L + B) = 2 × (14 + 8) = 44 cm

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