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      Question

      The perimeter of a rectangle is 96 cm, and the side of a

      square is equal to the average of the rectangle’s length and breadth. Find the area of the square.
      A 576 cm² Correct Answer Incorrect Answer
      B 600 cm² Correct Answer Incorrect Answer
      C 448 cm² Correct Answer Incorrect Answer
      D 778 cm² Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Perimeter of the rectangle = 2 × (l + b) The sum of the length and breadth = 96 / 2 = 48 cm The side of the square = 48 / 2 = 24 cm Area of the square = a² The area of the square = 24 × 24 = 576 cm²

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