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    Question

    Perimeter of a square is equal to perimeter of a

    rectangle, if area of square is 576 cm2 and length of rectangle is two times that of breadth. Find the area of rectangle.
    A 502 sq.cm Correct Answer Incorrect Answer
    B 512 sq.cm Correct Answer Incorrect Answer
    C 510 sq.cm Correct Answer Incorrect Answer
    D 524 sq.cm Correct Answer Incorrect Answer
    E 508 sq.cm Correct Answer Incorrect Answer

    Solution

    According to question, => a2= 576 => a = 24 cm Perimeter of a square is equal to perimeter of a rectangle and length of rectangle is two times that of breadth, => 4a = 2(2b + b) => 4× 24 = 4b + 2b => 96 = 6b => b = 16 cm Now, length = 32 cm Therefore, Area of rectangle = 32 × 16 = 512 cm2.

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