The area of a rectangle reduces by 160 m² if its length is increased by 5 m and breadth is reduced by 4 m. However, if length is decreased by 10 m and breadth is increased by 2 m, then its area is decreased by 100 m². Find the dimensions of the rectangle. [CBSE] Sol. Let the length of rectangle be x metre and the breadth of rectangle be y metre.

Then area of rectangle = xy m².

According to Ist condition, (x + 5)(y-4) + 160 = xy