Question

Idk this could be kind of hard



All of the triangles in the figure below are congruent. What is the area of the figure? Note that all measurements are in centimeters.


Note that the apothem shown is equal to 2
Answer
48 + 24
24 + 24
24
48

Answer 1

divide the hexagon into 6 triangles

Answer 2

done :)

Answer 3

btw all the answers have a radical sign then a 3 after them idk why it didnt show up
\[A. 48+24\sqrt{3} B. 24+24\sqrt{3} C. 24\sqrt{3} D. 48\sqrt{3}\]

Answer 4

If the side of the hexagon is 4, the apothem cannot be 2. What else have you posted incorrectly?

Answer 5

That is what the problem says, I did not make the figure.

Answer 6

Reread the problem. Isn't the apothem 2times radical 3?

Answer 7

yes, if you look on my question is says: Note that the apothem shown is equal to 2 radical 3 but the radical and the 3 did not show up

Answer 8

So even after I TOLD you that it could not be what you posted you STILL could not post it correctly?????

Answer 9

sorry, i coulda sworn i saw the radical 3 after the two but i guess my brain is fried. but yes it is 2 sqrt 3

Answer 10

The area of the hexagon is equal to:\[area = a^2*n*\tan(\frac{180}{n})\]
Where:
a = apothem in radians
n = number of sides
tan() is measured in degrees

Plus the area of the triangles\[area = \frac{1}{2} b*h\] Just plug and chug. :)