Question

What is the area of a regular hexagon with a side length of 12 cm?

Enter your answer in the box.

Round only your final answer to the nearest hundredth.


___ cm²

Answer 1

374.12,
just took the test

Answer 2

area of the regular hexagon to the nearest hundredths is, 374.12 cm²

Explanation:

Area of a regular hexagon(A) is given by:

`A = (3√(3) )/(2)a^2` ....[1]

where,

a is the side length of the hexagon.

As per the statement:

a side length of regular hexagon 12 cm

⇒ a = 12 cm

Substiute in [1] we have;

`A = (3√(3) )/(2)(12)^2`

⇒
`A = (3√(3) )/(2) \cdot 144`

⇒
`A = 3√(3 ) \cdot 72 = 216√(3) = 374.112` square cm.

Therefore, the area of the regular hexagon to the nearest hundredths is, 374.12 square cm