The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit, what is the area of the shaded region?

Apothem length: 15.69

A. 1463 square units
B. 764 square units
C. 647 square units
D. 816 square units

Question

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit, what is the area of the shaded region? 



Apothem length: 15.69

 		A.	1463 square units
 		B.	764 square units
 		C.	647 square units
 		D.	816 square units

ffasinger · Answer

@josedavid

ffasinger · Answer

http://media.apexlearning.com/Images/200703/05/6f33900f-4033-4b65-9520-83e28311be9d.gif

anonymous · Answer

I find it helpful here to draw another octagon to play around with

jdoe0001 · Answer

well... notice the octagon, OCTA, 8 sides
notice how long each side is

what's the perimeter of the octagon?

anonymous · Answer

|dw:1454630360056:dw|

anonymous · Answer

Not perfect but imagine it's regular

anonymous · Answer

|dw:1454630409858:dw|
So that would be the apothem

ffasinger · Answer

better than i could draw

ffasinger · Answer

i can barely draw a stick figure

jdoe0001 · Answer

ehhehe

anonymous · Answer

How could you find the base by creating right triangles, using the apothem as the height?

anonymous · Answer

Or in other words find this
|dw:1454630506608:dw|

anonymous · Answer

My bad that is supposed to be a right angle, forgot to include that

jdoe0001 · Answer

|dw:1454631275717:dw|

ffasinger · Answer

yussss

jdoe0001 · Answer

so.. any ideas on the perimeter?

anonymous · Answer

Lol I know right thank god for OpenStudy's straight line option rather than having to free pen the thing

ffasinger · Answer

noo\|dw:1454630744662:dw|

jdoe0001 · Answer

ahemm... so, what happened to the perimeter?  it went MIA?

ffasinger · Answer

|dw:1454630834247:dw|

ffasinger · Answer

|dw:1454630863882:dw|