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:
Answer & explanation
Correct answer: option 2
$(x-50)(y+50)$ ⇒ 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.