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Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (1, 1), (3, 4), (5, –2) and (4, –7).
  • a)
    20.5 sq. units
  • b)
    41 sq. units
  • c)
    82 sq. units
  • d)
    61.5 sq. units
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the area of the quadrilateral, the coordinates of whose angular p...
Let ABCD be a quadrilateral with vertices
A(1, 1), B(3, 4), C(5, –2) and D(4, –7)

Area of quadrilateral ABCD
= Area of ΔABC + Area of ΔADC...(i)
Now, area of ΔABC

Similarly, area of ΔADC =
= (1/2 )× 23 = 11.5 sq.units
Hence, area of quadrilateral ABCD
= 9 + 11.5 = 20.5 sq. units
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Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (1, 1), (3, 4), (5, –2) and (4, –7).a)20.5 sq. unitsb)41 sq. unitsc)82 sq. unitsd)61.5 sq. unitsCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (1, 1), (3, 4), (5, –2) and (4, –7).a)20.5 sq. unitsb)41 sq. unitsc)82 sq. unitsd)61.5 sq. unitsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (1, 1), (3, 4), (5, –2) and (4, –7).a)20.5 sq. unitsb)41 sq. unitsc)82 sq. unitsd)61.5 sq. unitsCorrect answer is option 'A'. Can you explain this answer?.
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