Quadrilateral KING is a parallelogram such that KI: IN is 7:10 and its perimeter is 170 cm.find l(GN).​

Question

Quadrilateral KING is a parallelogram such that KI: IN is 7:10 and its perimeter is 170 cm.find l(GN).​

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Sarah 2 months 2021-08-06T06:10:29+00:00 1 Answers 0 views 0

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    2021-08-06T06:11:33+00:00

    \textbf{Given:}

    \textsf{KING is a parallelogram and KI:IN=7:10}

    \textbf{To find:}

    \textsf{GN}

    \textbf{Solution:}

    \textsf{KI:IN=7:10}

    \implies\mathsf{KI=7x\;and\;IN=10x}

    \textsf{Perimeter of parallelogram = 170 cm}

    \implies\mathsf{KI+IN+NG+GK=170}

    \implies\mathsf{7x+10x+7x+10x=170}

    \implies\mathsf{34x=170}

    \implies\mathsf{x=\dfrac{170}{34}}

    \implies\mathsf{x=5}

    \mathsf{Now,}

    \mathsf{GN=7x=7(5)=35\;cm}

    \textbf{Find more:}

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