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      Question

      Area of a square is 50% less than the area of a

      rectangle with dimensions 27 cm and 24 cm. Find the perimeter of this square.
      A 25 cm Correct Answer Incorrect Answer
      B 44 cm Correct Answer Incorrect Answer
      C 84 cm Correct Answer Incorrect Answer
      D 72 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Area of the rectangle = 27 × 24 = 648 cm² 50% less ⇒ area of the square = 50% of 648 = 0.5 × 648 = 324 cm² Side of the square = √324 = 18 cm Perimeter of the square = 4 × 18 = 72 cm

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