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    Question

    The area of a square is 729 cm2 which is 48

    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 110 cm Correct Answer Incorrect Answer
    B 116 cm Correct Answer Incorrect Answer
    C 106 cm Correct Answer Incorrect Answer
    D 146 cm Correct Answer Incorrect Answer

    Solution

    Area of the square = 729 cm2 Length of each side of the square = √729 = 27 cm Area of the rectangle = 729 + 48 = 777 cm2 Length of the rectangle = 10 + 27 = 37 cm So, area of rectangle = length × breadth = 37 × breadth = 777 cm2 So, breadth of the rectangle = 777/37 = 21 cm Therefore, perimeter of the rectangle = 2 × (length +breadth) = 2 × (21 + 37) = 116 cm

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