If the length of a rectangle is increased by 14 units and its breadth is decreased by 7 units then the area of the rectangle is increased by 35 square units. However, if we decrease its length by 7 units and increase breadth by 3 units. Its area is decreased by 105 square units. Find the length and breadth of the rectangle.
Answer:
- Let us assume the length and breadth of the rectangle be units and units respectively.
- It is given that if the length of a rectangle is increased by 14 units and its breadth is decreased by 7 units then the area of the rectangle is increased by 35 square units.
Now, - Similarly, if we decrease its length by 7 units and increase breadth by 3 units. Its area is decreased by 105 square units.
Now, - On multiplying by 3 we get: Subtracting from we get:
- Putting in we get:
- Hence,