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A hexagon as all sides of length 2 cm. What will the area of the hexagon be, if it is enlarged with scale factor 3?

User Chiara
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1 Answer

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Answer:
93.53\ cm^2

Explanation:

Given

The side of the hexagon is
a=2\ cm

If it enlarged with scale factor 3 i.e. each side is 3 times before

The new side of the hexagon is
a'=3* 2=6\ cm

The area of the hexagon is


A=(3√(3))/(2)a^2

Putting values we get


\Rightarrow A=(3√(3))/(2)* 6^2\\\\\Rightarrow A=(3√(3))/(2)* 36=54√(3)\ cm^2\\\\\Rightarrow A=93.53\ cm^2

User Diceble
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