Question

Each side of a polygon is 3.8cm in length and its perimeter is 22.8cm how many sides does the polygon have ​

Answer 1

$\sf\large{\underline{\underline{Given:}}}$

$\sf\large{ \: \: \: Each\:side\:of\:polygon\:(in\:length) = 3.8\:cm}$

$\sf\large{ \: \: \: Perimeter = 22.8\:cm}$

$\sf\large{\underline{\underline{To\:Find:}}}$

$\sf\large{ \: \: \: Number\:of\:sides\:in\:polygon = ?}$

$\sf\large{\underline{\underline{Solution:}}}$

$\sf\large{Let\:the\:number\:of\:sides\:of\:the\:polygon\:be\:"n".}$

$\sf\large{Length\:of\:each\:of\:the\:polygon = 3.8\:cm}$

$\sf\large{\therefore{Perimeter\:of\:the\:Polygon = (3.8 × n)\:cm}}$

$\sf\large{\underline{But,\:it\:is\:given\:that\:its\:Perimeter\:is\:22.8\:cm.}}$

$\sf\large{\red{\implies (3.8 × n)\:cm = 22.8\:cm.}}$

$\sf\large{\purple{\implies n = \dfrac{22.8}{3.8}}}$

$\sf\large{\orange{\implies n = \dfrac{228}{38}}}$

$\sf\large{\green{\implies n = 6}}$

$\sf\large{\underline{\underline{Hence,}}}$

$\sf\large{The\:given\:polygon\:has\:six\:(6)\:Sides}$

Answer 2

Answer:

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