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

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

1. [tex]\textbf{Given:}[/tex]

   [tex]\textsf{KING is a parallelogram and KI:IN=7:10}[/tex]

   [tex]\textbf{To find:}[/tex]

   [tex]\textsf{GN}[/tex]

   [tex]\textbf{Solution:}[/tex]

   [tex]\textsf{KI:IN=7:10}[/tex]

   [tex]\implies\mathsf{KI=7x\;and\;IN=10x}[/tex]

   [tex]\textsf{Perimeter of parallelogram = 170 cm}[/tex]

   [tex]\implies\mathsf{KI+IN+NG+GK=170}[/tex]

   [tex]\implies\mathsf{7x+10x+7x+10x=170}[/tex]

   [tex]\implies\mathsf{34x=170}[/tex]

   [tex]\implies\mathsf{x=\dfrac{170}{34}}[/tex]

   [tex]\implies\mathsf{x=5}[/tex]

   [tex]\mathsf{Now,}[/tex]

   [tex]\mathsf{GN=7x=7(5)=35\;cm}[/tex]

   [tex]\textbf{Find more:}[/tex]

   Reply