Shalayla4
  • Shalayla4
What is the area of a regular hexagon with a perimeter of 12 and apothem (Square root of) 3 cm? A.) 36cm B.) 6 (square root of) 3 cm C.) (Square root of) 3 cm D.) 12 (Square root of) 3 cm
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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tkhunny
  • tkhunny
1) Do not post problems with no work shown. 2) Draw one and figure it out.
AlexandervonHumboldt2
  • AlexandervonHumboldt2
first of all you need to find the side.
bubblegum.
  • bubblegum.
The code of conduct does not say that we have to post our work along with the question!

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More answers

Shalayla4
  • Shalayla4
Yea^
bubblegum.
  • bubblegum.
\(\Huge\ddot\smile\)
AlexandervonHumboldt2
  • AlexandervonHumboldt2
lets go back to the question
Shalayla4
  • Shalayla4
Thank you :) Alex
AlexandervonHumboldt2
  • AlexandervonHumboldt2
first of all we need to find the side
AlexandervonHumboldt2
  • AlexandervonHumboldt2
hexagon has 6 sides
Shalayla4
  • Shalayla4
Okay, how do I do that?
AlexandervonHumboldt2
  • AlexandervonHumboldt2
to find the side we divide the perimeter by the number of sides
Shalayla4
  • Shalayla4
Oh okay so the side is 2?
AlexandervonHumboldt2
  • AlexandervonHumboldt2
yes now the formula for the area of hexagon is \[A=\frac{ 3\sqrt3 }{ 2 }*a^2\] where a is a side
AlexandervonHumboldt2
  • AlexandervonHumboldt2
substitute 2 and solve
tkhunny
  • tkhunny
Just draw one triangular piece and multiply by 6.|dw:1450118443658:dw|
Shalayla4
  • Shalayla4
Substitute 2 for a ?
AlexandervonHumboldt2
  • AlexandervonHumboldt2
yeah
Shalayla4
  • Shalayla4
So my answer would be 6 sqrt (3) ?
tkhunny
  • tkhunny
Did you get the same result using both methods? Use Ale's formula for the whole thing. Use my hint to verify.
Shalayla4
  • Shalayla4
What formula is that?
tkhunny
  • tkhunny
The one provided by Alex? Where did you get \(6\sqrt{3}\)?
Shalayla4
  • Shalayla4
I did indeed, I got it by using his method. And it was correct. Thank you so much Alex!!!

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