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    Question

    The sum of the perimeters of a square and a rectangle is

    120 metres. If the sum of the length and breadth of the rectangle is 30 cm, then find the area of the square.
    A 225 sq.metre Correct Answer Incorrect Answer
    B 169 sq.metre Correct Answer Incorrect Answer
    C 256 sq.metre Correct Answer Incorrect Answer
    D 196 sq.metre Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Perimeter of the rectangle = 2 x 30 = 60 cm Perimeter of the square = 120 – 60 = 60 cm Each side of the square = 60/4 = 15 cm Therefore, area of the square = 152 = 225 cm2

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