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    Question

    A rectangle has a length that is 50% greater than the

    side of a square, which covers an area of 64 cm². If the rectangle itself encompasses an area of 120 cm², determine the rectangle's breadth.
    A 10 cm Correct Answer Incorrect Answer
    B 12 cm Correct Answer Incorrect Answer
    C 14 cm Correct Answer Incorrect Answer
    D 15 cm Correct Answer Incorrect Answer

    Solution

    Length of each side of square = √64 = 8 cm Length of a rectangle = 1.5 X 8 = 10 cm Let's assume the breadth of the rectangle = 'b' cm ATQ; 12 X b = 120 Or, b = 10 Therefore, breadth of the rectangle = (120/12) = 10 cm Hence, option a.

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