In parellelogram ABCD,if B perpendicular = 50 than A perpendicular is ​

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In parellelogram ABCD,if B perpendicular = 50 than A perpendicular is ​

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Camila 1 month 2021-08-11T10:30:45+00:00 1 Answer 0 views 0

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    2021-08-11T10:32:00+00:00

    Answer:If AD = 20m, CE = 8m, AB = 16m, then the length of DF is 10 m

    Step-by-step explanation:

    It is given that,

    ABCD is a parallelogram

    Side AD = 20 m

    Side CE = 8 m

    Side AB = 16 m

    CE ⊥ AD

    DF ⊥ AB

    We know that the formula of the area of a parallelogram is given by,

    Area = Base × Perpendicular Height  

    Firstly, we have  

    Side AD = 20 m and the perpendicular height corresponding to this side will be CE which is 8 m.

    ∴ Area = AD × CE = 20 × 8 = 160 m²

    Now, considering side AB which is 16 m and the corresponding perpendicular height of this side is DF.

    ∴ Area = AB × DF

    ⇒ 160 = 16 × DF

    ⇒ DF = 160/16

    ⇒ DF = 10 m

    Thus, the length of DF is 10 m.

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