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      Question

      A square is converted into a rectangle by increasing

      its length by 50 % and decreasing its width by 20%. Which of the following statements is true?
      A Area of rectangle = Area of square Correct Answer Incorrect Answer
      B Area of square = 120% of area of rectangle Correct Answer Incorrect Answer
      C Area of square = 80% of area of rectangle Correct Answer Incorrect Answer
      D Perimeter of the rectangle = 115% of the perimeter of the square Correct Answer Incorrect Answer

      Solution

      Let side of the square = 10m ∴ Area of the square = 100m² and Perimeter of the square = 10 x 4 = 40 m After change, side of the rectangle = 15 m and 8 m ∴ Area of the rectangle = 15 x 8 = 120m² and Perimeter of the rectangle =   2 (15 + 8) = 46 m ∴ Area of the rectangle = 120% of the area of the square  and Perimeter of the rectangle = 115% of the perimeter of the square

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