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?

Question

asked Jul 7, 2022 36.3k views

1 Answer

Diceble · Answer 1 · 2022-07-13T10:40:50+0000

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

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