The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?

• let breadth be x cm then length will be 2x area will be 2x^2. new measurements are
  length=2x-5
  breadth=x+5
  area=(2x-5)(x+5) = 2(x^2)+5x-25 = 2(x^2)+75 solving this we will get x=20 then length = 2*20 = 40
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