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

Answer:

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

Step-by-step explanation:

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

$A = \frac{3\sqrt{3} }{2}a^2$        ....[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;

$A = \frac{3\sqrt{3} }{2}(12)^2$

⇒$A = \frac{3\sqrt{3} }{2} \cdot 144$

⇒$A = 3\sqrt{3 } \cdot 72 = 216\sqrt{3} = 374.112$ square cm.

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