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      Question

      The perimeter of a rectangle is 120 cm. If the side of

      the square is equal to the average of the rectangle’s length and breadth, what is the area of the square?
      A 324 cm² Correct Answer Incorrect Answer
      B 676 cm² Correct Answer Incorrect Answer
      C 256 cm² Correct Answer Incorrect Answer
      D 900 cm² Correct Answer Incorrect Answer

      Solution

      ATQ, Perimeter of the rectangle = 2 × (l + b) The sum of the length and breadth = 120 / 2 = 60 cm The side of the square = 60 / 2 = 30 cm Area of the square = a² The area of the square = 30 × 30 = 900 cm²

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