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12. A rectangle has length which is 5 cm less than twice its breadth.If the length is decreased by 5 cm and breadth is increased by2 cm, the perimeter of the resulting rectangle will be 74cm.Find the length and breadth of the original rectangle.

Answer»

Breadth = xLength = 2x - 5Then the length is decreased by 5= 2x - 10The breadth is increased by 2= x + 2Perimeter = 2*breadth + 2*length74 = 2*(x + 2)+ 2*(2x - 10)

74 = 2x + 4 + 4x - 2074 = 6x - 166x = 74 + 166x = 90x = 15 cmBreadth = 15cmLength = 25cm



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