Find the area of the quadrilateral formed by the points (1,2), (2,-3), (-2,4), (0,5) taken in order

Question

Find the area of the quadrilateral formed by the points (1,2), (2,-3), (-2,4), (0,5) taken in order

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Harper 3 weeks 2021-10-04T01:42:42+00:00 1 Answer 0 views 0

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    0
    2021-10-04T01:43:43+00:00

    Answer:

    The area of a quadrilateral formed by joining the points (x

    1

    ,y

    1

    ), (x

    2

    ,y

    2

    ), (x

    3

    ,y

    3

    ) and (x

    4

    ,y

    4

    ) is

    A=

    2

    1

    ((x

    1

    −x

    3

    )(y

    2

    −y

    4

    )−(x

    2

    −x

    4

    )(y

    1

    −y

    3

    ))

    Therefore, the area of a quadrilateral formed by joining the points (−4,2), (1,−1), (4,1) and (2,5) is:

    A=

    2

    1

    ((−4−4)(−1−5)−(1−2)(2−1))=

    2

    1

    ((−8)(−6)−(−1)(1))=

    2

    1

    (48+1)=

    2

    1

    (49)=24.5

    Hence, the area of the quadrilateral is 24.5 sq. units.

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