Question

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?

Answer 1

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`