Sum of area of a square and a rectangle is 644 sq. cm and perimeter of rectangle is 88 cm. If ratio of length to breadth of rectangle is 7 : 4, then find perimeter of square ?
A)72 cm B)81 cm C)48 cm D)64 cm E)56 cm

• Perimeter of rectangle =2(l+b)
  let length be 7x and breadth be 4x
  2(7x+4x)=88
  x=4
  Therefore length =28cm and breadth be 16cm
  Area of rectangle =lb (i.e) 28*16=448cm sq
  Area of square + Area of rectangle =644(given in question)
  l*l +448=644
  So l=14
  Perimeter of square=4l
  4*14=56cm
  
  So your answer is option E(56cm)
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