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      Question

      The perimeter of 4 squares is 20 cm, 32 cm, 36 cm and 40

      cm respectively. What will be the area of the square having perimeter equal to sum of edges of 4 squares? (in sq.cm)
      A 64 sq.cm Correct Answer Incorrect Answer
      B 121 sq.cm Correct Answer Incorrect Answer
      C 100 sq.cm Correct Answer Incorrect Answer
      D 81 sq.cm Correct Answer Incorrect Answer
      E 144 sq.cm Correct Answer Incorrect Answer

      Solution

      Let side of 4 squares be a, b, c and d cm respectively. => a = 20/4 = 5 cm => b = 32/4 = 8 cm => c = 36/4 = 9 cm => d = 40/4 = 10 cm Perimeter of new square = a + b + c + d = 32 => side = 32/4 = 8 cm Required area = side2 = 82 = 64 cm2.

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