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Neha has drawn a diagram on a graph paper. It has a rectangle PQRS of area 40 square units which is inscribed in square ABCD of area 98 square units. Every side of the square has one vertex of the rectangle on it. The sides of the rectangle are in the ratio 5 : 2. An ant starts from point A(-2, 2) to P(0, 0). Then it goes to Q, which is on x-axis then to C. After that it returns to A via R and S. It traverse along the sides of square/rectangle. How much distance does the insect covers?
  • a)
    >35 and <38
  • b)
    >34 and <37
  • c)
    >27 and <30
  • d)
    >30 and <33
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Neha has drawn a diagram on a graph paper. It has a rectangle PQRS of ...
The area of the rectangle is 40 sq. units and the sides are in the ratio 5 : 2 so the sides of the rectangle are 10 units and 4 units.
From the data, we can have diagram as given below.  
AP = √(2 - 0)2 + (-2 - 0)2 = 2√2
QC = √(0 - 2)2 + (10 - 12)2 = 2√2
CR = √(2 - 4)2 + (12 - 10)2 = 2√2
SA = √(4 - 2)2 + (0 -  (-0))2 = 2√2
∴ Total distance = 10 + 10 + 8√2 = 20 + 8√2 ≈ 31.28
Hence, option 4.
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Neha has drawn a diagram on a graph paper. It has a rectangle PQRS of area 40 square units which is inscribed in square ABCD of area 98 square units. Every side of the square has one vertex of the rectangle on it. The sides of the rectangle are in the ratio 5 : 2. An ant starts from point A(-2, 2) to P(0, 0). Then it goes to Q, which is on x-axis then to C. After that it returns to A via R and S. It traverse along the sides of square/rectangle. How much distance does the insect covers?a)>35 and <38b)>34 and <37c)>27 and <30d)>30 and <33e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Neha has drawn a diagram on a graph paper. It has a rectangle PQRS of area 40 square units which is inscribed in square ABCD of area 98 square units. Every side of the square has one vertex of the rectangle on it. The sides of the rectangle are in the ratio 5 : 2. An ant starts from point A(-2, 2) to P(0, 0). Then it goes to Q, which is on x-axis then to C. After that it returns to A via R and S. It traverse along the sides of square/rectangle. How much distance does the insect covers?a)>35 and <38b)>34 and <37c)>27 and <30d)>30 and <33e)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Neha has drawn a diagram on a graph paper. It has a rectangle PQRS of area 40 square units which is inscribed in square ABCD of area 98 square units. Every side of the square has one vertex of the rectangle on it. The sides of the rectangle are in the ratio 5 : 2. An ant starts from point A(-2, 2) to P(0, 0). Then it goes to Q, which is on x-axis then to C. After that it returns to A via R and S. It traverse along the sides of square/rectangle. How much distance does the insect covers?a)>35 and <38b)>34 and <37c)>27 and <30d)>30 and <33e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Neha has drawn a diagram on a graph paper. It has a rectangle PQRS of area 40 square units which is inscribed in square ABCD of area 98 square units. Every side of the square has one vertex of the rectangle on it. The sides of the rectangle are in the ratio 5 : 2. An ant starts from point A(-2, 2) to P(0, 0). Then it goes to Q, which is on x-axis then to C. After that it returns to A via R and S. It traverse along the sides of square/rectangle. How much distance does the insect covers?a)>35 and <38b)>34 and <37c)>27 and <30d)>30 and <33e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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