Question

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

Answer 1

$\textbf{Given:}$

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

$\textbf{To find:}$

$\textsf{GN}$

$\textbf{Solution:}$

$\textsf{KI:IN=7:10}$

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

$\textsf{Perimeter of parallelogram = 170 cm}$

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

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

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

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

$\implies\mathsf{x=5}$

$\mathsf{Now,}$

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

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