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SMO 2010 Senior Round 1 Question 11

SMO · SMO 2010 Senior Round 1

Question 11

The area of a rectangle remains unchanged when either its length is increased by $6$ units and width decreased by $2$ units, or its length decreased by $12$ units and its width increased by $6$ units. If the perimeter of the original rectangle is $x$ units, find the value of $x$.