Q4. Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :
(v) 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. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.
Let be the length of the rectangle and be the width,
Now, According to the question,
By Cross multiplication method,
Hence the length and width of the rectangle are 17 unit and 9 unit respectively.