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    Area of a rectangle is 96 m2. When the length of the same rectangle increased by 6 m and the breadth decreased by 3 m, then the area of the rectangle decreases by 30 m2. What is the perimeter of a square whose sides are equal to the length of rectangle

  • 48 m
  • 60 m
  • 80 m
  • 64 m
  • 52 m
  • Explanation:

    Area of rectangle = 96

     lb = 96

    According to question, lb -(l+6)(b-3) = 30

    lb-lb+3l-6b+18=30

    3l-6b = 12

    l-2b-4=0

    l=2(b+2)

    By solving equations (i) and (ii) we get,

    l= 16m, b = 6m

    The side of square = l=16m

    ∴ Perimeter of a square = 4×16 = 64m


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