AJ L. answered • 06/03/23
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Area = 1/2 * apothem * perimeter
Area = 1/2 * 9√3 * (9*8)
Area = 1/2 * 9√3 * 72
Area = 36 * 9√3
Area = 324√3 square feet
We got the perimeter by multiplying the number of sides in the nonagon (9 sides) by the length of each side (8 feet).
Hope this helped!
AJ L.
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Glad to hear, you're welcome! Feel free to make a meeting with me if you need more assistance with geometry!
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06/03/23
Roger R.
tutor
This is not a regular nonagon: 2·tan(20°)·9√3 = (11.347...) ≠ 8.
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06/03/23
AJ L.
tutor
I assume the original problem forgot to take account of this, but if we assumed it was, then the answer would be right.
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06/03/23
S R.
Thank you, I thought so but wasn't sure!06/03/23