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    Question

    The area of a rectangle is 5/7 that of a square. The length of the rectangle is 20 cm and the breadth of the rectangle is 3/2 times that of the side of the square. The side of the square, (in cm) is

    A 32 cm Correct Answer Incorrect Answer
    B 60 cm Correct Answer Incorrect Answer
    C 45 cm Correct Answer Incorrect Answer
    D 42 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Using the formula, Area = Length x Breadth & Area = side² = a² Side of a square = a cm Therefore, Area of rectangle = 5/7 x area of square ⇒ 20 x (3/2) x a = 5/7 x a² ⇒ a = (20 x 7 x 3)/(5 x 2) ⇒ a = 42 cm

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