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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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