The area of a rectangle gets reduced by 9 square units. if its length is reduced by 5 units and breadth is increased by 3 units. However, if the length of this rectangle increases by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.
Let the length of the rectangle = x units and its breadth = y units
According to first condition : (x−5)(y+3)=xy−9 and
According to second condition: (x+3)(y+2)=xy+67
Find the area of a rectangle whose length is 5xy units and breadth is 8xy2 units.