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    Question

    The area of a square is 576 cm2 which is 172

    cm2 less than that of a rectangle. Find the perimeter of the rectangle if the length of the rectangle is 10 cm more than the length of each side of the square.
    A 102 cm Correct Answer Incorrect Answer
    B 110 cm Correct Answer Incorrect Answer
    C 112 cm Correct Answer Incorrect Answer
    D 111 cm Correct Answer Incorrect Answer

    Solution

    Area of the square = 576 cm2 Length of each side of the square = √576 = 24 cm Area of the rectangle = 576 + 172 = 748 cm2 Length of the rectangle = 10 + 24 = 34 cm So, area of rectangle = length × breadth = 34 × breadth = 748 cm2 So, breadth of the rectangle = 748/34 = 22 cm Therefore, perimeter of the rectangle = 2 × (length +breadth) = 2 × (22 + 34) = 112 cm

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