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Geometry 19 Online
OpenStudy (ffasinger):

To the nearest square unit, what is the area of the regular heptagon shown below? A. 1573 square units B. 2772 square units C. 792 square units D. 5545 square units

OpenStudy (ffasinger):

@josedavid

OpenStudy (nottim):

Where's this heptagon? Or give us its measurements.

OpenStudy (ffasinger):

I am adding it hold on

OpenStudy (aihberkhan):

Don't see the heptagon

OpenStudy (aihberkhan):

Okay :)

OpenStudy (jdoe0001):

got pic?

OpenStudy (josedavid):

i dont see the picture

OpenStudy (nottim):

Lol we established that everyone

OpenStudy (nottim):

srsly read the comments before you post

OpenStudy (ffasinger):

there you go

OpenStudy (jdoe0001):

well then notice the apothem there? the line going from the side to the center also notice the length of one side? keep in mind that a HEPTAgon, means 7 sides if there are 7 sides, what's the perimeter of it? now, with that in mind, recall that \(\bf \textit{area of a regular polygon}=\cfrac{1}{2}\cdot apothem\cdot perimeter\)

OpenStudy (nottim):

That's pretty cool. I didn't know there was a formula for the area of a regular polygon given the apothem.

OpenStudy (ffasinger):

so the perimter is the base number

OpenStudy (nottim):

Conventionally, and less efficiently, I was thinking of breaking up that polygon into several triangles. Measure one of them, and multiply it by 6.

OpenStudy (josedavid):

i think is a but make sure first

OpenStudy (ffasinger):

kk

OpenStudy (nottim):

No, the perimeter is teh base multiplied by 7.

OpenStudy (jdoe0001):

perimeter of anything, is "how lengthy it is" the heptagon has 7 sides, add them all up, and that's how lengthy it's, and thus, that's its perimeter

OpenStudy (ffasinger):

ohh

OpenStudy (ffasinger):

so the perimeter is 145.6

OpenStudy (ffasinger):

so the awnsewer is A

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