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Read the following text and answer the following questions on the basis of the same:
Manjit wants to donate a rectangular plot of land for a school in his village. When he was 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 length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2
The equations in terms of X and Y are
  • a)
    x – y = 50, 2x – y = 550
  • b)
    x – y = 50, 2x + y = 550
  • c)
    x + y = 50, 2x + y = 550
  • d)
    x + y = 50, 2x + y = 550
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Read the following text and answer the following questions on the bas...
Let length of plot = x m
Breadth of plot = y m
Now,
Area of plot = xy m*
Given that,
If its length is decreased by 50 m and breadth is increased by 50m,
Then its area will remain same.
(Length - 50) * (Breadth + 50) = Area
(x - 50) * (y + 50) = xy
x(y + 50) - 50(y + 50) = xy
xy + 50x - 50y - 2500 = xy
50x - 50y - 2500 = 0
50x - 50y = 2500
Dividing both sides by 50
x - y = 50 …(1)
Also,
If length is decreased by 10m and breadth is decreased by 20m, then
Area will decrease by 5300m*m
(Length - 10) * (Breadth - 20) = Area - 5300
(x - 10) * (y - 20) = xy - 5300
x(y - 20) - 10(y - 20) = xy - 5300
xy - 20x - 10y + 200 = xy - 5300
-20x - 10y + 200 = -5300
-20x - 10y = -5300 - 200
-20x - 10y = -5500
20x + 10y = 5500
Dividing both sides by 10
2x + y = 550
Thus, our equations are:
x - y = 50
2x + y = 550
So, the correct answer is b.
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Read the following text and answer the following questions on the basis of the same:Manjit wants to donate a rectangular plot of land for a school in his village. When he was 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 length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2The equations in terms of X and Y area)x – y = 50, 2x – y = 550b)x – y = 50, 2x + y = 550c)x + y = 50, 2x + y = 550d)x + y = 50, 2x + y = 550Correct answer is option 'B'. Can you explain this answer?
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Read the following text and answer the following questions on the basis of the same:Manjit wants to donate a rectangular plot of land for a school in his village. When he was 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 length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2The equations in terms of X and Y area)x – y = 50, 2x – y = 550b)x – y = 50, 2x + y = 550c)x + y = 50, 2x + y = 550d)x + y = 50, 2x + y = 550Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:Manjit wants to donate a rectangular plot of land for a school in his village. When he was 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 length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2The equations in terms of X and Y area)x – y = 50, 2x – y = 550b)x – y = 50, 2x + y = 550c)x + y = 50, 2x + y = 550d)x + y = 50, 2x + y = 550Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:Manjit wants to donate a rectangular plot of land for a school in his village. When he was 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 length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2The equations in terms of X and Y area)x – y = 50, 2x – y = 550b)x – y = 50, 2x + y = 550c)x + y = 50, 2x + y = 550d)x + y = 50, 2x + y = 550Correct answer is option 'B'. Can you explain this answer?.
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