emmynimmy
  • emmynimmy
Use the diagram of the regular hexagon to support an explanation showing why the formula accurately yields the area of the hexagon. (Recall that a is the apothem and P is the perimeter of the hexagon.)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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emmynimmy
  • emmynimmy
anonymous
  • anonymous
which formula I can tell you then
emmynimmy
  • emmynimmy
It doesn't tell me a formula. Just the picture.

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More answers

anonymous
  • anonymous
Well I assume the formula is \[\frac{ 1 }{ 2 }ap\]
emmynimmy
  • emmynimmy
why do you need a formula?
anonymous
  • anonymous
The formula is needed so because it is what you are proving to why it yields the exact area
anonymous
  • anonymous
So a regular hexagon contains 6 congruent triangles
anonymous
  • anonymous
To the area of a triangle is \[\frac{ 1 }{ 2 }bh\] but in this case there are 6 of them
anonymous
  • anonymous
By them I mean triangles
anonymous
  • anonymous
So how would you do this, find the area of one of the triangles and multiply it by 6 right, because that is the number of triangles in a hexagon
anonymous
  • anonymous
So you would get\[6\frac{ 1 }{ 2 } bh\] but remember that the base is one side of a hexagon so therefore if you multiply that side by 6 you would get the perimeter.
anonymous
  • anonymous
So this would simplify to \[\frac{ 1 }{ 2 }ap\]
emmynimmy
  • emmynimmy
okay but its asking me to explain.
anonymous
  • anonymous
Yeah use the explanation I gave that would work
emmynimmy
  • emmynimmy
to support an explanation so i would write that?
anonymous
  • anonymous
Yes basically
emmynimmy
  • emmynimmy
Do you think it will be the correct answeR?
anonymous
  • anonymous
Yes it would because to prove the area using apothem's and perimeter's this would be the only formula
emmynimmy
  • emmynimmy
okay thanks!
anonymous
  • anonymous
You're welcome.
emmynimmy
  • emmynimmy
I am having a little bit of a hard time of how i should put that into words.
emmynimmy
  • emmynimmy
@Brill

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