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      Question

      The sum of the perimeters of a square and a rectangle is

      118 metres. If the sum of the length and breadth of the rectangle is 31 cm, then find the area of the square.
      A 225 sq.metre Correct Answer Incorrect Answer
      B 169 sq.metre Correct Answer Incorrect Answer
      C 256 sq.metre Correct Answer Incorrect Answer
      D 196 sq.metre Correct Answer Incorrect Answer

      Solution

      Perimeter of the rectangle = 2 x 31 = 62 cm Perimeter of the square = 118 – 62 = 56 cm Each side of the square = 56/4 = 14 cm Therefore, area of the square = 142Β = 196 cm2

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