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    Question

    The diagonals of a rhombus measure 36 cm and 48 cm. A

    rectangle has a length of 32 cm, and its area is equal to the area of the rhombus. What is the perimeter of the rectangle?
    A 118 cm Correct Answer Incorrect Answer
    B 106 cm Correct Answer Incorrect Answer
    C 92 cm Correct Answer Incorrect Answer
    D 96 cm Correct Answer Incorrect Answer
    E 112 cm Correct Answer Incorrect Answer

    Solution

    Area of rhombus = (1/2) X product of diagonals = (1/2) X 36 X 48 = 864 cm2 Area of rectangle = length X breadth So, 32 X breadth = 864 Or, breadth = 27 cm Therefore, perimeter of rectangle = 2 X (32 + 27) = 118 cm

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