Manjeet wants to donate a rectangular plot of land for a school in his village. When he has asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if its length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m². If length and breadth of the plot are x and y respectively, then based on above information answer the question.

The length (x) and breadth (y) of plot satisfy equations:

 x – y = 50, 2x + y = 550

$(x-50)(y+50)$ ⇒ As area of rectangle = xy

$xy = 50(x-50)(y+50)=50x-50y=2500$

$x-y=50$ ....(i)

$(x-10)(y-20)=xy-5300⇒20x+10y=5500$

$2x+y=550$  ....(ii)

Option 2 is correct.