In a rectangular region the length of rectangle is x units and the breadth of rectangle is y units, then find the area of rectangular region.
Area of a rectangle = length × Breadth= xy square units
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