1.

A piece of wire is 96cm long. What will be the length of each side,if the wire is bent to form a regular hexagon?a. 16 cmb. 6 cmc. 24 cmd. 14 cm​

Answer»

Given: A piece of wire is 96cm.

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Need to find: What will be the length of each side?

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❒ Let US CONSIDER that, the length of each REQUIRED side be 'a'.

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◗ Let's Head to the QUESTION now:

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\underline{ \bf{\dag} \frak{ \: As \: we \: know \: that \: :}}

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  • Perimeter of HEXAGON = Length of wire.

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We know that, if we are given with the perimeter of hexagon, we have the required formula, that is,

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:\implies \textsf{Perimeter of hexagon = 6a}

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Substituting all the given values in the formula, we get :

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\sf{:\implies \quad 96 = 6 \times a} \\ \\ \\ \sf{:\implies \quad 96 = 6a} \\ \\ \\ \sf{:\implies \quad 6a = 96} \\ \\ \\ \sf{:\implies \quad a = \cancel{\frac{96}{6} }} \\ \\ \\ \sf{:\implies \quad \boxed{ \frak{ \pink{a = 16}}}}

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\sf{\therefore{\underline{The \: length \: of \: each \: required \: side \: is \: \textsf{\textbf{16 cm.}}}}}


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