1.

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

Answer» <html><body><p><img align="absmiddle" alt="\sf\large{\underline{\underline{Given:}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cunderline%7B%5Cunderline%7BGiven%3A%7D%7D%7D" title="\sf\large{\underline{\underline{Given:}}}"/></p><p><img align="absmiddle" alt="\sf\large{ \: \: \: Each\:side\:of\:polygon\:(in\:length) = 3.8\:cm}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%20%5C%3A%20%5C%3A%20%5C%3A%20Each%5C%3Aside%5C%3Aof%5C%3Apolygon%5C%3A%28in%5C%3Alength%29%20%3D%203.8%5C%3Acm%7D" title="\sf\large{ \: \: \: Each\:side\:of\:polygon\:(in\:length) = 3.8\:cm}"/></p><p><img align="absmiddle" alt="\sf\large{ \: \: \: Perimeter = 22.8\:cm}" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%20%5C%3A%20%5C%3A%20%5C%3A%20Perimeter%20%3D%2022.8%5C%3Acm%7D" title="\sf\large{ \: \: \: Perimeter = 22.8\:cm}"/></p><p></p><p><img align="absmiddle" alt="\sf\large{\underline{\underline{To\:Find:}}}" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cunderline%7B%5Cunderline%7BTo%5C%3AFind%3A%7D%7D%7D" title="\sf\large{\underline{\underline{To\:Find:}}}"/></p><p><img align="absmiddle" alt="\sf\large{ \: \: \: Number\:of\:sides\:in\:polygon = ?}" class="latex-formula" id="TexFormula5" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%20%5C%3A%20%5C%3A%20%5C%3A%20Number%5C%3Aof%5C%3Asides%5C%3Ain%5C%3Apolygon%20%3D%20%3F%7D" title="\sf\large{ \: \: \: Number\:of\:sides\:in\:polygon = ?}"/></p><p></p><p><img align="absmiddle" alt="\sf\large{\underline{\underline{Solution:}}}" class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cunderline%7B%5Cunderline%7BSolution%3A%7D%7D%7D" title="\sf\large{\underline{\underline{Solution:}}}"/></p><p><img align="absmiddle" alt="\sf\large{Let\:the\:number\:of\:sides\:of\:the\:polygon\:be\:" class="latex-formula" id="TexFormula7" n="" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7BLet%5C%3Athe%5C%3Anumber%5C%3Aof%5C%3Asides%5C%3Aof%5C%3Athe%5C%3Apolygon%5C%3Abe%5C%3A%22n%22.%7D" title="\sf\large{Let\:the\:number\:of\:sides\:of\:the\:polygon\:be\:"/></p><p><img align="absmiddle" alt="\sf\large{Length\:of\:each\:of\:the\:polygon = 3.8\:cm}" class="latex-formula" id="TexFormula8" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7BLength%5C%3Aof%5C%3Aeach%5C%3Aof%5C%3Athe%5C%3Apolygon%20%3D%203.8%5C%3Acm%7D" title="\sf\large{Length\:of\:each\:of\:the\:polygon = 3.8\:cm}"/></p><p></p><p><img align="absmiddle" alt="\sf\large{\therefore{Perimeter\:of\:the\:Polygon = (3.8 × n)\:cm}}" class="latex-formula" id="TexFormula9" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Ctherefore%7BPerimeter%5C%3Aof%5C%3Athe%5C%3APolygon%20%3D%20%283.8%20%C3%97%20n%29%5C%3Acm%7D%7D" title="\sf\large{\therefore{Perimeter\:of\:the\:Polygon = (3.8 × n)\:cm}}"/></p><p></p><p></p><p><img align="absmiddle" alt="\sf\large{\underline{But,\:it\:is\:given\:that\:its\:Perimeter\:is\:22.8\:cm.}}" class="latex-formula" id="TexFormula10" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cunderline%7BBut%2C%5C%3Ait%5C%3Ais%5C%3Agiven%5C%3Athat%5C%3Aits%5C%3APerimeter%5C%3Ais%5C%3A22.8%5C%3Acm.%7D%7D" title="\sf\large{\underline{But,\:it\:is\:given\:that\:its\:Perimeter\:is\:22.8\:cm.}}"/></p><p></p><p><img align="absmiddle" alt="\sf\large{\red{\implies (3.8 × n)\:cm = 22.8\:cm.}}" class="latex-formula" id="TexFormula11" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cred%7B%5Cimplies%20%283.8%20%C3%97%20n%29%5C%3Acm%20%3D%2022.8%5C%3Acm.%7D%7D" title="\sf\large{\red{\implies (3.8 × n)\:cm = 22.8\:cm.}}"/></p><p><img align="absmiddle" alt="\sf\large{\purple{\implies n = \dfrac{22.8}{3.8}}}" class="latex-formula" id="TexFormula12" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cpurple%7B%5Cimplies%20n%20%3D%20%5Cdfrac%7B22.8%7D%7B3.8%7D%7D%7D" title="\sf\large{\purple{\implies n = \dfrac{22.8}{3.8}}}"/></p><p><img align="absmiddle" alt="\sf\large{\orange{\implies n = \dfrac{228}{38}}}" class="latex-formula" id="TexFormula13" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Corange%7B%5Cimplies%20n%20%3D%20%5Cdfrac%7B228%7D%7B38%7D%7D%7D" title="\sf\large{\orange{\implies n = \dfrac{228}{38}}}"/></p><p><img align="absmiddle" alt="\sf\large{\green{\implies n = 6}}" class="latex-formula" id="TexFormula14" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cgreen%7B%5Cimplies%20n%20%3D%206%7D%7D" title="\sf\large{\green{\implies n = 6}}"/></p><p></p><p><img align="absmiddle" alt="\sf\large{\underline{\underline{Hence,}}}" class="latex-formula" id="TexFormula15" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7B%5Cunderline%7B%5Cunderline%7BHence%2C%7D%7D%7D" title="\sf\large{\underline{\underline{Hence,}}}"/></p><p><img align="absmiddle" alt="\sf\large{The\:given\:polygon\:has\:six\:(6)\:Sides}" class="latex-formula" id="TexFormula16" src="https://tex.z-dn.net/?f=%5Csf%5Clarge%7BThe%5C%3Agiven%5C%3Apolygon%5C%3Ahas%5C%3Asix%5C%3A%286%29%5C%3ASides%7D" title="\sf\large{The\:given\:polygon\:has\:six\:(6)\:Sides}"/></p></body></html>


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