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      Question

      The perimeter of a rectangle is 72 cm. If the side of a

      square is equal to the average of the length and breadth of the rectangle, find the area of the square.
      A 324 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 = 72 / 2 = 36 cm The side of the square = 36 / 2 = 18 cm Area of the square = a² The area of the square = 18 × 18 = 324 cm²

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