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    The side of a square is equal to the length of a rectangle; also the side of the square is twice the breadth of the rectangle. If the sum of the areas of the square and rectangle is 48 cm2, what is the length of the rectangle

  • 15 cm
  • 3cm
  • 6cm
  • 9cm
  • 12cm
  • Explanation:

    Let the length of the rectangle = l cm

    and breadth of the rectangle = b cm

    Given, l = a

    b = a/2

    According to question,

    a2+l×b=48

    a2+a×a/2=48

    3a2 = 48×2

    a2 = 32 

    a2 = 36

    ∴ a = 6 cm