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 cm
b. 6 cm
c. 24 cm
d. 14 cm
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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 cm
b. 6 cm
c. 24 cm
d. 14 cm
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Answer:
16
Step-by-step explanation:
96÷ all 6 sides of hexagon
96/6=16
answer = 16
Verified 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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[tex]\underline{ \bf{\dag} \frak{ \: As \: we \: know \: that \: :}}[/tex]
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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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[tex]:\implies \textsf{Perimeter of hexagon = 6a}[/tex]
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Substituting all the given values in the formula, we get :
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[tex]\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}}}}[/tex]
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[tex]\sf{\therefore{\underline{The \: length \: of \: each \: required \: side \: is \: \textsf{\textbf{16 cm.}}}}}[/tex]